Skip to main content Accessibility help
×
Home

ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS

Published online by Cambridge University Press:  14 September 2020

Ghobad Barmalzan
Affiliation:
Department of Statistics, University of Zabol, Sistan and Baluchestan, Iran E-mail: ghobad.barmalzan@gmail.com
Sajad Kosari
Affiliation:
Department of Mathematics, University of Zabol, Sistan and Baluchestan, Iran
Narayanaswamy Balakrishnan
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, OntarioL8S 4L8, Canada
Corresponding

Abstract

In this paper, we consider finite mixture models with components having distributions from the location-scale family. We then discuss the usual stochastic order and the reversed hazard rate order of such finite mixture models under some majorization conditions on location, scale and mixing probabilities as model parameters.

Type
Research Article
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below.

References

Amini-Seresht, E. & Zhang, Y. (2017). Stochastic comparisons on two finite mixture models. Operations Research Letters 45: 475480.CrossRefGoogle Scholar
Balakrishnan, N., Haidari, A. & Masoumifard, K. (2015). Stochastic comparisons of series and parallelsystems with generalized exponential components. IEEE Transactions on Reliability 64: 333348.CrossRefGoogle Scholar
Castillo, E., Hadi, A.S., Balakrishnan, N. & Sarabia, J.M. (2005). Extreme value and related models with applications in engineering and science. Hoboken, NJ: John Wiley & Sons.Google Scholar
Cha, J.H. & Finkelstein, M. (2013). The failure rate dynamics in heterogeneous populations. Reliability Engineering and System Safety 112: 120128.CrossRefGoogle Scholar
Everitt, B.S. & Hand, D.J. (1981). Finite mixture distributions. London: Chapman and Hall.CrossRefGoogle Scholar
Finkelstein, M. (2008). Failure rate modeling for reliability and risk. London: Springer.Google Scholar
Finkelstein, M. & Esaulova, V. (2006). On mixture failure rate ordering. Communications in Statistics – Theory and Methods 35: 19431955.CrossRefGoogle Scholar
Franco, M., Balakrishnan, N., Kundu, D., & Vivo, J.M. (2014). Generalized mixtures of Weibull components. Test 23: 515535.CrossRefGoogle Scholar
Hazra, N.K. & Finkelstein, M. (2018). On stochastic comparisons of finite mixtures for some semiparametric families of distributions. Test 27: 9881006.CrossRefGoogle Scholar
Hosking, J.R.M. & Wallis, J.R. (1997). Regional frequency analysis: An approach based on L-moment. Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
Johnson, N.L., Kotz, S., & Balakrishnan, N. (1994). Continuous univariate distributions, 2nd ed., vol. 1. New York: John Wiley & Sons.Google Scholar
Johnson, N.L., Kotz, S., & Balakrishnan, N. (1995). Continuous univariate distributions, 2nd ed., vol. 2. New York: John Wiley & Sons.Google Scholar
Khaledi, B.E, Farsinezhad, S., & Kochar, S.C. (2011). Stochastic comparisons of order statistics in the scale model. Journal of Statistical Planning and Inference 141: 276286.CrossRefGoogle Scholar
Marshall, A.W. & Olkin, I. (2007). Life Distributions. New York: Springer.Google Scholar
Marshall, A.W., Olkin, I., & Arnold, B.C. (2011). Inequalities: theory of majorization and its applications, 2nd ed.New York: Springer.CrossRefGoogle Scholar
Müller, A. & Stoyan, D. (2002). Comparison methods for stochastic models and risks. New York: John Wiley & Sons.Google Scholar
Navarro, J. & Hernandez, P.J. (2004). How to obtain bathtub-shaped failure rate models from normal mixtures. Probability in the Engineering and Informational Sciences 18: 511531.CrossRefGoogle Scholar
Shaked, M. & Shanthikumar, J.G. (2007). Stochastic orders. New York: Springer.CrossRefGoogle Scholar
Titterington, D.M., Smith, A.F.M., & Makov, U.E. (1985). Statistical analysis of finite mixture distributions. Chichester: John Wiley & Sons.Google Scholar

Full text views

Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.

Total number of HTML views: 0
Total number of PDF views: 19 *
View data table for this chart

* Views captured on Cambridge Core between 14th September 2020 - 24th January 2021. This data will be updated every 24 hours.

Hostname: page-component-76cb886bbf-r88h9 Total loading time: 0.28 Render date: 2021-01-24T19:48:05.430Z Query parameters: { "hasAccess": "0", "openAccess": "0", "isLogged": "0", "lang": "en" } Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": false, "newCiteModal": false }

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

ORDERINGS OF FINITE MIXTURE MODELS WITH LOCATION-SCALE DISTRIBUTED COMPONENTS
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *