Skip to main content Accessibility help
×
  • Cited by 6
  • Volume 1: Basic Probability and Statistics, 2nd edition
  • Yuri Suhov, University of Cambridge, Mark Kelbert, Swansea University
Publisher:
Cambridge University Press
Online publication date:
October 2014
Print publication year:
2014
Online ISBN:
9781139087773

Book description

Probability and statistics are as much about intuition and problem solving as they are about theorem proving. Consequently, students can find it very difficult to make a successful transition from lectures to examinations to practice because the problems involved can vary so much in nature. Since the subject is critical in so many applications from insurance to telecommunications to bioinformatics, the authors have collected more than 200 worked examples and examination questions with complete solutions to help students develop a deep understanding of the subject rather than a superficial knowledge of sophisticated theories. With amusing stories and historical asides sprinkled throughout, this enjoyable book will leave students better equipped to solve problems in practice and under exam conditions.

Reviews

Review of previous edition:‘… all the ingredients that contribute to making a good lecture are in the book: well-explained theory, interesting examples, and funny jokes and amusing stories about famous probabilists and statisticians. The authors also give rhythm to the flow of the subjects, making the volume a very pleasant book to read.'

Emanuele Taufer Source: Mathematical Reviews

Review of previous edition:‘… authors claim that this book simplifies life for test-taking students by offering them a wealth of exercises along with complete solutions. Highly recommended.'

Source: Choice

Review of previous edition:‘Well put together, well written and containing a regular joke to relax the mind, this book is an excellent text for courses in probability and statistics designed for the reasonably mathematically sophisticated.'

Charles Ashbacher Source: Journal of Recreational Mathematics

Review of previous edition:‘The book is well-written, not just for the problems but also for the remarks and historical asides that the authors choose to include … I will certainly keep it on my desk next time I teach a similar course as a good resource for problems, and I would recommend it to any student wanting supplemental material.'

Darren Glass Source: MAA Reviews

‘This book gives both relevant background material and clear solutions for many instructive problems mostly taken from examination papers at Cambridge. It would be a valuable teaching aid to a student who first makes a serious attempt to solve each problem for herself/himself.'

David Williams - Professor Emeritus, University of Bath

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
×

Contents

Bibliography
[1] D., Applebaum. Probability and Information: An Integrated Approach. 2nd ed. Cambridge: Cambridge University Press, 2008.
[2] B.C., Arnold, N., Balakrishnan and H.N., Nagaraja. A First Course in Order Statistics. New York: Wiley, 1992; Philadelphia, PA: SIAM, 2008.
[3] R.B., Ash. Probability and Measure Theory, with contributions from C., Doléans-Dade. 2nd ed. San Diego, CA: Harcourt–Academic; London: Academic, 2000.
[4] J., Auñón and V., Chandrasekar. Introduction to Probability and Random Processes. New York; London: McGraw-Hill, 1997.
[5] A., Azzalini. Statistical Inference: Based on the Likelihood. London: Chapman and Hall, 1996.
[6] L.J., Bain and M., Engelhardt. Introduction to Probability and Mathematical Statistics. 2nd ed. Boston, MA: PWS–KENT, 1992.
[7] N., Balakrishnan and V.B., Nevzorov. A Primer on Statistical Distributions. Hoboken, NJ; Chichester: Wiley, 2003.
[8] O.E., Barndorff-Nielsen and D.R., Cox. Inference and Asymptotics. London: Chapman and Hall, 1994.
[9] R., Bartoszynski and M., Niewiadomska-Bugaj. Probability and Statistical Inference. 2nd ed. Hoboken, NJ: Wiley-Interscience, 2008.
[10] J.O., Berger. Statistical Decision Theory and Bayesian Analysis. 2nd ed. New York: Springer, 1985.
[11] D.A., Berry and B.W., Lindgren. Statistics, Theory and Methods. Pacific Grove, CA: Brooks/Cole, 1996.
[12] P., Billingsley. Probability and Measure. Anniversary ed. Hoboken, NJ: Wiley, 2012.
[13] V.S., Borkar. Probability Theory: An Advanced Course. New York; London: Springer, 1995.
[14] A.A., Borovkov. Mathematical Statistics. Amsterdam: Gordon and Breach, 1998.
[15] G.E.P., Box and N.R., Draper. Evolutionary Operation: A Statistical Method for Process Improvement. New York and Chichester: Wiley, 1998.
[16] G.E.P., Box, A., Luceño and M., del Carmen Paniagua-Quiñones. Statistical Control by Monitoring and Feedback Adjustment. 2nd ed. Hoboken, NJ: Wiley, 2009.
[17] G.E.P., Box and M.E., Muller. A note on the generation of random normal deviate. The Annals of Mathematical Statistics, 29 (1958), 610–611.
[18] G.E.P., Box and G.C., Tiao. Bayesian Inference in Statistical Analysis. New York: Wiley, 1992.
[19] Box on Quality and Discovery: with Design, Control, and Robustness. Ed.-in-chief G.C., Tiao; eds., S., Bisgaardet al. New York; Chichester: Wiley, 2000.
[20] M., Capinski and E., Kopp. Measure, Integral and Probability. London: Springer, 1999.
[21] M., Capinski and M., Zastawniak. Probability through Problems. 2nd ed. London: Springer, 2004.
[22] G., Casella and J.O., Berger. Statistical Inference. 2nd ed. Pacific Grove, CA; Duxbury: Thomson Learning, 2002.
[23] G., Casella and E.L., Lehmann. Theory of Point Estimation. New York; London: Springer, 1998.
[24] C.A., Charalambides, M.V., Koutras and N., Balakrishnan. Probability and Statistical Models with Applications. Boca Raton, FL and London: Chapman and Hall/CRC, 2001.
[25] S., Chatterjee, M.S., Handcock and J.S., Simonoff. A Casebook for a First Course in Statistics and Data Analysis. New York; Chichester: Wiley, 1995.
[26] L., Chaumont and M., Yor. Exercises in Probability: A Guided Tour from Measure Theory to Random Processes, via Conditioning. 2nd ed. Cambridge: Cambridge University Press, 2012.
[27] Y.S., Chow, H., Robbins and D., Siegmund. The Theory of Optimal Stopping. New York and Dover; London: Constable, 1991.
[28] Y.S., Chow and H., Teicher. Probability Theory: Independence, Interchangeability, Martingales. 3rd ed. New York and London: Springer, 1997.
[29] K.L., Chung. A Course in Probability Theory. 3rd ed. San Diego, CA and London: Academic Press, 2001.
[30] G.M., Clarke and D., Cooke. A Basic Course in Statistics. 4th ed. London: Arnold, 1998.
[31] R., Courant and H., Robbins. What Is Mathematics? An Elementary Approach to Ideas and Methods. Oxford: Oxford University Press, 1996.
[32] C.T., Cover. A note on the two-armed bandit problem with finite memory. Information and Control, 12 (1968), 371–377.
[33] D.R., Cox and D.V., Hinkley. Theoretical Statistics. London: Chapman and Hall, 1979.
[34] D.R., Cox and D.V., Hinkley. Problems and Solutions in Theoretical Statistics. London: Chapman and Hall, 1978.
[35] J., Crawshaw and J., Chambers. A Concise Course in Advanced Level Statistics: with Worked Examples. 4th ed. Cheltenham: Nelson Thornes, 2001.
[36] M.N., DeGroot and M.J., Schervish. Probability and Statistics. 4th ed. Boston, MA: Pearson, 2012; Harlow: Pearson Education Limited, 2014.
[37] J.L., Devore. Probability and Statistics for Engineering and the Sciences. 8th ed. Brooks/Cole, Cengage Learning, 2012.
[38] Y., Dodge. et al., eds. The Oxford Dictionary of Statistical Terms. 6th ed. Oxford: Oxford University Press, 2003.
[39] A.Ya., Dorogovtsev, D.S., Silvestrov, A.V., Skorokhod and M.I., Yadrenko. Probability Theory: Collection of Problems. Providence, RI: American Mathematical Society, 1997.
[40] R.M., Dudley. Real Analysis and Probability. Cambridge: Cambridge University Press, 2002.
[41] R., Durrett. The Essentials of Probability. Belmont, CA: Duxbury Press, 1994.
[42] R., Durrett. Probability: Theory and Examples. 4th ed. Cambridge: Cambridge University Press, 2010.
[43] B., Efron. R.A., Fisher in the 21st century. Statistical Science, 13 (1998), 95–122.
[44] B., Efron. Robbins, empirical Bayes and microanalysis. Annals of Statistics, 31 (2003), 366–378.
[45] B., Efron and R., Thisted. Estimating the number of unseen species: How many words did Shakespeare know?Biometrika, 63 (1976), 435–447.
[46] B., Efron and R., Thisted. Did Shakespeare write a newly-discovered poem?Biometrika, 74 (1987), 445–455.
[47] B., Efron and R., Tibshirani. An Introduction to the Bootstrap. New York; London: Chapman and Hall, 1993.
[48] M., Evans, N., Hastings and B., Peacock. Statistical Distributions. 3rd ed. New York and Chichester: Wiley, 2000.
[49] R.M., Feldman and C., Valdez-Flores. Applied Probability and Stochastic Processes. Boston, MA; London: PWS Publishing Company, 1996.
[50] W., Feller. An Introduction to Probability Theory and Its Applications. Vols 1 and 2. 2nd ed. New York: Wiley; London: Chapman and Hall, 1957–1971.
[51] J., Fisher Box. R.A., Fisher. The Life of a Scientist. New York; Chichester; Brisbane; Toronto: J. Wiley and Sons, 1978.
[52] T.S., Ferguson. Mathematical Statistics: A Decision Theoretic Approach. New York; London: Academic Press, 1967.
[53] J.E., Freund. Introduction to Probability. New York: Dover, 1993.
[54] J.E., Freund and B.M., Perles. Statistics: A First Course. 8th ed., International ed. Upper Saddle River, NJ: Prentice Hall, 2004.
[55] B., Fristedt and L., Gray. A Modern Approach to Probability Theory. Boston, MA: Birkhäuser, 1997.
[56] J., Galambos. Advanced Probability Theory. 2nd ed., rev. and expanded. New York: M. Dekker, 1995.
[57] S., Ghahramani. Fundamentals of Probability. 3rd ed., International edition. Upper Saddle River, NJ: Pearson Education International, 2005.
[58] J.D., Gibbons. Nonparametric Statistics: An Introduction. Newbury Park, CA; London: Sage, 1993.
[59] B.V., Gnedenko. Theory of Probability. 6th ed. Amsterdam: Gordon and Breach, 1997.
[60] H., Gordon. Discrete Probability. New York; London: Springer, 1997.
[61] A., Graham. Statistics: An Introduction. London: Hodder and Stoughton, 1995.
[62] G.R., Grimmett and D.R., Stirzaker. Probability and Random Processes: Problems and Solutions. Oxford: Clarendon Press, 1992.
[63] G.R., Grimmett and D.R., Stirzaker. Probability and Random Processes. 3rd ed. Oxford: Oxford University Press, 2001.
[64] G.R., Grimmett and D.R., Stirzaker. One Thousand Exercises in Probability. Oxford: Oxford University Press, 2003.
[65] C.M., Grinstead and J.L., Snell. Introduction to Probability. 2nd rev. ed. Providence, RI: American Mathematical Society, 1997.
[66] J., Haigh. Probability Models. London: Springer, 2002.
[67] J., Haigh. Probability: A Very Short Introduction. Oxford: Oxford University Press, 2012.
[68] A., Hald. A History of Mathematical Statistics from 1750 to 1930. New York; Chichester: Wiley, 1998.
[69] K.J., Hastings. Probability and Statistics. Reading, MA; Harlow: Addison-Wesley, 1997.
[70] A.G., Hawkes. On the development of statistical ideas and their applications. Inaugural lecture at the University of Wales, Swansea, 1975.
[71] A.J., Hayter. Probability and Statistics for Engineers and Scientists. 4th ed., International ed. Brooks/Cole, Cengage Learning, 2013.
[72] L.L., Helms. Introduction to Probability Theory: With Contemporary Applications. New York, NY: Dover Publications, 2010.
[73] J., Hoffmann-Jorgensen. Probability with a View toward Statistics. New York; London: Chapman and Hall, 1994.
[74] R.V., Hogg and E.A., Tanis. Probability and Statistical Inference. 8th ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2010.
[75] J., Jacod and P., Protter. Probability Essentials. 2nd ed. Berlin; London: Springer, 2003.
[76] R., Jackson and J.T., Callender. Exploring Probability and Statistics with Spreadsheets. London: Prentice Hall, 1995.
[77] H., Jeffreys. Theory of Probability. 3rd ed. Oxford: Oxford University Press, 1998.
[78] O., Kallenberg. Foundations of Modern Probability. 2nd ed. New York; London: Springer, 2002.
[79] M., Kelbert, I., Sazonov and A.G., Wright. Exact expression for the variance of the photon emission process in scintillation counters. Nuclear Instruments and Methods in Physics Research, Series A, 564 (2006), 1, 185–189.
[80] S., Kim. Statistics and Decisions: An Introduction to Foundations. New York: Van Nostrand Reinhold; London: Chapman and Hall, 1992.
[81] J.J., Kinney. Probability: An Introduction with Statistical Applications. New York; Chichester: J. Wiley and Sons, 1997.
[82] L.J., Kitchens. Exploring Statistics: A Modern Introduction to Data Analysis and Inference. 2nd ed. Pacific Grove, CA: Duxbury Press, 1998.
[83] D.A., Klain and G.-C., Rota. Introduction to Geometric Probability. Cambridge: Cambridge University Press, 1997.
[84] A.N., Kolmogorov. Foundations of the Calculus of Probabilities. New York: Chelsea Pub. Co., 1946, 1950.
[85] L.B., Koralov and Y.G., Sinai. Theory of Probability and Random Processes. 2nd ed. Berlin: Springer, 2007.
[86] N., Krishnankutty. Putting Chance to Work. A Life in Statistics. A biography of C.R. Rao. State College, PA: Dialogue, 1996.
[87] T.L., Lai and D., Siegmund. The contributions of Herbert Robbins to Mathematical Statistics. Statistical Science, 1 (1986), 276–284.
[88] J.W., Lamperti. Probability: A Survey of the Mathematical Theory. 2nd ed. New York; Chichester: Wiley, 1996.
[89] W.H., Lange. Study Guide for Mason, Lind and Marchal's Statistics: An Introduction. 5th ed. Pacific Grove, CA; London: Duxbury Press, 1998.
[90] R.J., Larsen and M.L., Marx. An Introduction to Mathematical Statistics and its Applications. 5th ed. Boston, MA; London: Prentice Hall, 2012.
[91] G., Lawler and L.N., Coyle. Lectures on Contemporary Probability. Providence, RI: American Mathematical Society, 1999.
[92] P.M., Lee. Bayesian Statistics: An Introduction. 4th ed. Chichester, UK: Wiley, 2012.
[93] E.L., Lehmann and J.P., Romano. Testing Statistical Hypotheses. 3rd ed. New York: Springer, 2005.
[94] D.V., Lindley and W.F., Scott. New Cambridge Statistical Tables. 2nd ed. Cambridge: Cambridge University Press, 1995.
[95] P., Malliavin. Integration and Probability. In cooperation with H., Airault, L., Kay and G., Letac. New York; London: Springer-Verlag, 1995.
[96] R.D., Mason, D.A., Lind and W.G., Marchal. Statistics: An Introduction. 5th ed. Pacific Grove, CA and London: Duxbury Press, 1998.
[97] R.D., Mason, D.A., Lind and W.G., Marchal. Instructor's Manual for Statistics: An Introduction. 5th ed. Pacific Grove, CA and London: Duxbury Press, 1998.
[98] J.T., McClave and T., Sincich. A First Course in Statistics. 10th ed. Indianapolis, IN: Prentice Hall; London: Pearson Education, 2009.
[99] J.H., McColl. Probability. London: Edward Arnold, 1995.
[100] W., Mendenhall, R.J., Beaver and B.M., Beaver. Introduction to Probability and Statistics. 14th ed. Brooks/Cole, 2013.
[101] I., Miller and M., Miller. John Freund's Mathematical Statistics with Applications. 7th ed. Upper Saddle River, NJ: Pearson Prentice-Hall Education, 2004.
[102] F., Mosteller and J.W., Tukey. Data Analysis and Regression: A Second Course in Statistics. Reading, MA; London: Addison-Wesley, 1977.
[103] E., Nelson. Radically Elementary Probability Theory. Princeton, NJ: Princeton University Press, 1987.
[104] Ye.P., Nikitina, V.D., Freidlina and A.V., Yarkho. A Collection of Definitions of the Term ‘Statistic(s)’ [in Russian]. Moscow: Moscow State University Publishing House, 1972.
[105] A., O'Hagan and J., Forster. Kendall's Advanced Theory of Statistics. Vol. 2B. 2nd ed. London: Arnold; New York: Oxford University Press, 2004.
[106] M.K., Ochi. Applied Probability and Stochastic Processes: In Engineering and Physical Sciences. New York and Chichester: Wiley, 1990.
[107] R.L., Ott and M., Longnecker. An Introduction to Statistical Methods and Data Analysis. 6th ed., International ed. Pacific Grove, CA: Brooks/Cole Cengage Learning, 2010.
[108] E., Pearson and H.O., Hartley (Eds). Biometrika Tables for Statisticians. Vol. 1. Cambridge: Cambridge University Press, 1966.
[109] J., Pitman. Probability. New York: Springer-Verlag, 1993.
[110] D., Pollard. A User's Guide to Measure Theoretic Probability. Cambridge: Cambridge University Press, 2002.
[111] S.C., Port. Theoretical Probability for Applications. New York; Chichester: Wiley, 1994.
[112] C.R., Rao. Linear Statistical Inference and Its Applications. 2nd ed. New York: Wiley, 2002.
[113] S., Rasmussen. An Introduction to Statistics with Data Analysis. International student ed. Pacific Grove, CA: Brooks/Cole, 1992.
[114] A.C., Rencher and G.B., Schaalje. Linear Models in Statistics. 2nd ed. Hoboken, NJ: Wiley-Interscience, 2008.
[115] C., Reid. Neyman: From Life. New York, Hedelberg and Berlin: Springer-Verlag, 1982.
[116] S.I., Resnick. A Probability Path. Boston, MA: Birkhäuser, 1999.
[117] J.A., Rice. Mathematical Statistics and Data Analysis. 3rd ed., International student ed. Belmont, CA: Thomson Brooks/Cole, 2007.
[118] J.P., Romano, and A.F., Siegel. Counterexamples in Probability and Statistics. Monterey, CA: Wadsworth & Brooks/Cole Advanced Books & Software, 1986.
[119] J., Rosenblat. Basic Statistical Methods and Models for the Sciences. Boca Raton, FL and London: Chapman and Hall/CRC, 2002.
[120] S.M., Ross. Solutions Manual for Introduction to Probability Models. 4th ed. Boston, MA: Academic, 1989.
[121] S.M., Ross. Introductory Statistics. New York; London: McGraw-Hill, 1996.
[122] S.M., Ross. Introduction to Probability Models. 9th ed. Burlington, MA and London: Elsevier Academic Press, 2007.
[123] S.M., Ross. Introduction to Probability and Statistics for Engineers and Scientists. 3rd ed. Boston, MA and London: Elsevier Academic Press, 2004.
[124] S., Ross. A First Course in Probability. 9th ed. Upper Saddle River, NJ: Pearson Education, Inc., 2014.
[125] S.M., Ross. Probability Models for Computer Science. San Diego, CA and London: Harcourt Academic Press, 2002.
[126] V.K., Rothagi and S.M., Ehsanes. An Introduction to Probability and Statistics. 2nd ed. New York and Chichester: Wiley, 2001.
[127] G.G., Roussas. A Course in Mathematical Statistics. 2nd ed. San Diego, CA and London: Academic, 1997.
[128] R.M., Royall. Statistical Evidence: A Likelihood Paradigm. London: Chapman and Hall, 1997.
[129] I., Sazonov, M., Kelbert and A.O., Wright. Improved approximation for the variance of the photon emission in scintillation counters. Nuclear Instruments and Methods in Physics Research, Series A, 572 (2007), 2, 804–807.
[130] R.L., Scheaffer. Introduction to Probability and Its Applications. 2nd ed. Belmont, CA and London: Duxbury, 1995.
[131] R.B., Schinazi. Probability with Statistical Applications. Boston, MA: Birkhäuser, 2001.
[132] P.K., Sen, J.M., Singer and A.C., Pedroso de Lima. From Finite Sample to Asymptotic Methods in Statistics. Cambridge: Cambridge University Press, 2010.
[133] A.N., Shiryayev. Probability. 2nd ed. New York: Springer-Verlag, 1995.
[134] A.F., Siegel and C.J., Morgan. Statistics and Data Analysis: An Introduction. 2nd ed. New York and Chichester: Wiley, 1996.
[135] Y.G., Sinai. Probability Theory: An Introductory Course. Berlin and New York: Springer-Verlag, 1992.
[136] M.R., Spiegel, J.J., Schiller and R.A., Srinivasan. Schaum's Outline of Theory and Problems of Probability and Statistics. 2nd ed. New York and London: McGraw-Hill, 2000.
[137] M.R., Spiegel, J.J., Schiller and R.A., Srinivasan. Probability and Statistics. 3rd ed. New York and London: McGraw-Hill, 2009.
[138] D., Stirzaker. Elementary Probability. 2nd ed. Cambridge: Cambridge University Press, 2003.
[139] D., Stirzaker. Solutions Manual for Stirzaker's Elementary Probability. Cambridge: Cambridge University Press, 1994.
[140] D., Stirzaker. Probability Vicit Expectation. Chichester: Wiley, 1994.
[141] D., Stirzaker. Probability and Random Variables: A Beginner's Guide. New York: Cambridge University Press, 1999.
[142] D., Stirzaker. Three-handed gambler's ruin. Advances in Applied Probability, 38 (2006), 1, 284–286.
[143] J.M., Stoyanov. Counterexamples in Probability. 2nd ed. Chichester: Wiley, 1997.
[144] D.W., Stroock. Probability Theory: An Analytic View. 2nd ed. Cambridge: Cambridge University Press, 2011.
[145] K., Trivedi. Probability and Statistics with Reliability, Queueing, and Computer Science Applications. 2nd ed. New York; Chichester: Wiley, 2002.
[146] H.C., Tuckwell. Elementary Applications of Probability Theory: With an Introduction to Stochastic Differential Equations. 2nd ed. London: Chapman and Hall, 1995.
[147] J.W., Tukey. Exploratory Data Analysis. Reading, MA: Addison-Wesley, 1977.
[148] R.E., Walpole, R.H., Myers and S.H., Myers. Probability and Statistics for Engineers and Scientists. 9th ed. Boston, MA: Pearson, 2012.
[149] R., Weber, IB Statistics, Lecture Notes, 2003. Available at www.statslab.cam.ac.uk/R.Weber.
[150] P., Whittle. Probability via Expectation. 4th ed. New York: Springer, 2000.
[151] M.V., Wilks. Memoirs of a Computer Pioneer. Cambridge, MA: MIT Press, 1985.
[152] W., Willcox. Definitions of Statistics. ISI Review, 3:4 (1935), 388–399.
[153] D., Williams. Weighing the Odds: A Course in Probability and Statistics. Cambridge: Cambridge University Press, 2001.
[154] G.L., Wise and E.B., Hall. Counterexamples in Probability and Real Analysis. New York and Oxford: Oxford University Press, 1993.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.