A new probability distribution: properties, copulas and applications in medicine and engineering

In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We der...

Full description

Saved in:
Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2023-06, p.257-278
Main Authors: Refaie, Mohamed K. A., Butt, Nadeem Shafique, Ali, Emadeldin I. A.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3
cites cdi_FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3
container_end_page 278
container_issue
container_start_page 257
container_title Pakistan journal of statistics and operation research
container_volume
creator Refaie, Mohamed K. A.
Butt, Nadeem Shafique
Ali, Emadeldin I. A.
description In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We derive pertinent statistical features. A few distributions of the bivariate kind are generated. For evaluating the model parameters, we took the maximum likelihood estimation approach into consideration. Maximal likelihood estimators are evaluated via graphical simulations. To demonstrate the applicability of the new approach, two genuine data sets are taken into consideration and examined. The Akaike Information criterion, Bayesian Information criterion, Cramer-von Mises criterion, Anderson-Darling criterion, Kolmogorov-Smirnov test, and its related p-value are used to evaluate the new model with a variety of popular competing models.
doi_str_mv 10.18187/pjsor.v19i2.3633
format article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_18187_pjsor_v19i2_3633</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_18187_pjsor_v19i2_3633</sourcerecordid><originalsourceid>FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3</originalsourceid><addsrcrecordid>eNotkM1KxDAUhYMoWMZ5AHd5AFuTm2mTuhsG_2DAja5rmqTDlU4ako4yb29bXZ0L5-PC-Qi55azgiit5H77SEItvXiMUohLigmQAwPJScXZJsgmqcpCcX5N1StgyqGrJS5AZ-dxS735oiEOrW-xxPFOLaYzYnkYc_MPcBBdHdOmOmiGcep2o9pbqEHo0eoYSRU-PzqJB75bS-cN0uoj-cEOuOt0nt_7PFfl4enzfveT7t-fX3XafG1BqzEGAkdJZoTaVqXmljbGdFrUta6kr0wkoretAadVZYExwYM5OEzYMpJ5QsSL876-JQ0rRdU2IeNTx3HDWLJaaxVKzWGpmS-IXSl5fVw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A new probability distribution: properties, copulas and applications in medicine and engineering</title><source>Publicly Available Content (ProQuest)</source><creator>Refaie, Mohamed K. A. ; Butt, Nadeem Shafique ; Ali, Emadeldin I. A.</creator><creatorcontrib>Refaie, Mohamed K. A. ; Butt, Nadeem Shafique ; Ali, Emadeldin I. A.</creatorcontrib><description>In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We derive pertinent statistical features. A few distributions of the bivariate kind are generated. For evaluating the model parameters, we took the maximum likelihood estimation approach into consideration. Maximal likelihood estimators are evaluated via graphical simulations. To demonstrate the applicability of the new approach, two genuine data sets are taken into consideration and examined. The Akaike Information criterion, Bayesian Information criterion, Cramer-von Mises criterion, Anderson-Darling criterion, Kolmogorov-Smirnov test, and its related p-value are used to evaluate the new model with a variety of popular competing models.</description><identifier>ISSN: 1816-2711</identifier><identifier>EISSN: 2220-5810</identifier><identifier>DOI: 10.18187/pjsor.v19i2.3633</identifier><language>eng</language><ispartof>Pakistan journal of statistics and operation research, 2023-06, p.257-278</ispartof><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3</citedby><cites>FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3</cites><orcidid>0000-0002-0473-4920</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Refaie, Mohamed K. A.</creatorcontrib><creatorcontrib>Butt, Nadeem Shafique</creatorcontrib><creatorcontrib>Ali, Emadeldin I. A.</creatorcontrib><title>A new probability distribution: properties, copulas and applications in medicine and engineering</title><title>Pakistan journal of statistics and operation research</title><description>In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We derive pertinent statistical features. A few distributions of the bivariate kind are generated. For evaluating the model parameters, we took the maximum likelihood estimation approach into consideration. Maximal likelihood estimators are evaluated via graphical simulations. To demonstrate the applicability of the new approach, two genuine data sets are taken into consideration and examined. The Akaike Information criterion, Bayesian Information criterion, Cramer-von Mises criterion, Anderson-Darling criterion, Kolmogorov-Smirnov test, and its related p-value are used to evaluate the new model with a variety of popular competing models.</description><issn>1816-2711</issn><issn>2220-5810</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNotkM1KxDAUhYMoWMZ5AHd5AFuTm2mTuhsG_2DAja5rmqTDlU4ako4yb29bXZ0L5-PC-Qi55azgiit5H77SEItvXiMUohLigmQAwPJScXZJsgmqcpCcX5N1StgyqGrJS5AZ-dxS735oiEOrW-xxPFOLaYzYnkYc_MPcBBdHdOmOmiGcep2o9pbqEHo0eoYSRU-PzqJB75bS-cN0uoj-cEOuOt0nt_7PFfl4enzfveT7t-fX3XafG1BqzEGAkdJZoTaVqXmljbGdFrUta6kr0wkoretAadVZYExwYM5OEzYMpJ5QsSL876-JQ0rRdU2IeNTx3HDWLJaaxVKzWGpmS-IXSl5fVw</recordid><startdate>20230602</startdate><enddate>20230602</enddate><creator>Refaie, Mohamed K. A.</creator><creator>Butt, Nadeem Shafique</creator><creator>Ali, Emadeldin I. A.</creator><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-0473-4920</orcidid></search><sort><creationdate>20230602</creationdate><title>A new probability distribution: properties, copulas and applications in medicine and engineering</title><author>Refaie, Mohamed K. A. ; Butt, Nadeem Shafique ; Ali, Emadeldin I. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>online_resources</toplevel><creatorcontrib>Refaie, Mohamed K. A.</creatorcontrib><creatorcontrib>Butt, Nadeem Shafique</creatorcontrib><creatorcontrib>Ali, Emadeldin I. A.</creatorcontrib><collection>CrossRef</collection><jtitle>Pakistan journal of statistics and operation research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Refaie, Mohamed K. A.</au><au>Butt, Nadeem Shafique</au><au>Ali, Emadeldin I. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new probability distribution: properties, copulas and applications in medicine and engineering</atitle><jtitle>Pakistan journal of statistics and operation research</jtitle><date>2023-06-02</date><risdate>2023</risdate><spage>257</spage><epage>278</epage><pages>257-278</pages><issn>1816-2711</issn><eissn>2220-5810</eissn><abstract>In this work, we construct a three-parameter Chen modification that is flexible. The "J shape", "monotonically increasing", "U shape," and "upside down (reversed bathtub)" hazard rate forms are all supported by the new Chen extension's hazard rate. We derive pertinent statistical features. A few distributions of the bivariate kind are generated. For evaluating the model parameters, we took the maximum likelihood estimation approach into consideration. Maximal likelihood estimators are evaluated via graphical simulations. To demonstrate the applicability of the new approach, two genuine data sets are taken into consideration and examined. The Akaike Information criterion, Bayesian Information criterion, Cramer-von Mises criterion, Anderson-Darling criterion, Kolmogorov-Smirnov test, and its related p-value are used to evaluate the new model with a variety of popular competing models.</abstract><doi>10.18187/pjsor.v19i2.3633</doi><tpages>22</tpages><orcidid>https://orcid.org/0000-0002-0473-4920</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1816-2711
ispartof Pakistan journal of statistics and operation research, 2023-06, p.257-278
issn 1816-2711
2220-5810
language eng
recordid cdi_crossref_primary_10_18187_pjsor_v19i2_3633
source Publicly Available Content (ProQuest)
title A new probability distribution: properties, copulas and applications in medicine and engineering
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T07%3A19%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20new%20probability%20distribution:%20properties,%20copulas%20and%20applications%20in%20medicine%20and%20engineering&rft.jtitle=Pakistan%20journal%20of%20statistics%20and%20operation%20research&rft.au=Refaie,%20Mohamed%20K.%20A.&rft.date=2023-06-02&rft.spage=257&rft.epage=278&rft.pages=257-278&rft.issn=1816-2711&rft.eissn=2220-5810&rft_id=info:doi/10.18187/pjsor.v19i2.3633&rft_dat=%3Ccrossref%3E10_18187_pjsor_v19i2_3633%3C/crossref%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c288t-232c77ed3846c916accdfa39d597a6cf325def28a8fd2003120ed1524027acdf3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true