Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications
In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantil...
Gespeichert in:
| Veröffentlicht in: | Complexity (New York, N.Y.) N.Y.), 2020, Vol.2020 (2020), p.1-15, Article 1860813 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 15 |
|---|---|
| container_issue | 2020 |
| container_start_page | 1 |
| container_title | Complexity (New York, N.Y.) |
| container_volume | 2020 |
| creator | Elsehety, Mahmoud Hashmi, Sharqa Ahsan ul Haq, Muhammad ZeinEldin, Ramadan A. |
| description | In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution. |
| doi_str_mv | 10.1155/2020/1860813 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_emare</sourceid><recordid>TN_cdi_emarefa_primary_1139966</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A623927662</galeid><doaj_id>oai_doaj_org_article_660f04a0f10b40dc8b6e2da56bc60c4c</doaj_id><sourcerecordid>A623927662</sourcerecordid><originalsourceid>FETCH-LOGICAL-c465t-6852e6754d6a50c9808acdcafc68ca66fb68569c47ded46cc7825fb509fb9c543</originalsourceid><addsrcrecordid>eNqNkUFvEzEQhVcIJErgxhmtxBG29XrXs-tjFFqIFASHcl55x-PGUWIH22ng39fJVu0R5MPYo2-en-YVxfuaXda1EFeccXZV98D6unlRXNRMyooJDi9P9w4q3vXd6-JNjBvGmISmuyjW8-1-rcqf_kihvA3KRePDjnS5dPcUIpUrv1N_yi82pmDHQ7LelUeb1rljDAVyqfxOae11LL0pr2OyO3WGlNPlfL_fWjy_49vilVHbSO8e66z4dXN9u_hWrX58XS7mqwpbEKmCXnCCTrQalGAoe9Yr1KgMQo8KwIyZAIltp0m3gNj1XJhRMGlGiaJtZsVy0tVebYZ9yH7C38ErO5wbPtwNKiSLWxoAmGGtYqZmY8s09iMQ10rAiMCwxaz1cdLaB__7QDENG38ILtsfeNM1UrayPv14OVF3KotaZ3wKCvPRtLPoHRmb-3PgjeQd5DIrPk8DGHyMgcyTzZoNpyCHU5DDY5AZ7yf8SKM3ES05pKeRnKTgvOVc5hvjC5vO-174g0t59NP_jz7Ta-u0Otp_2fow0ZQZMuqZrvNmAJoHLGLICQ</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2373994914</pqid></control><display><type>article</type><title>Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications</title><source>DOAJ Directory of Open Access Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>Web of Science - Science Citation Index Expanded - 2020<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" /></source><source>Wiley Online Library (Open Access Collection)</source><source>Alma/SFX Local Collection</source><creator>Elsehety, Mahmoud ; Hashmi, Sharqa ; Ahsan ul Haq, Muhammad ; ZeinEldin, Ramadan A.</creator><contributor>Zhu, Quanmin ; Quanmin Zhu</contributor><creatorcontrib>Elsehety, Mahmoud ; Hashmi, Sharqa ; Ahsan ul Haq, Muhammad ; ZeinEldin, Ramadan A. ; Zhu, Quanmin ; Quanmin Zhu</creatorcontrib><description>In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.</description><identifier>ISSN: 1076-2787</identifier><identifier>EISSN: 1099-0526</identifier><identifier>DOI: 10.1155/2020/1860813</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Electric power distribution ; Estimating techniques ; Least squares ; Mathematics ; Mathematics, Interdisciplinary Applications ; Maximum likelihood estimation ; Multidisciplinary Sciences ; Parameter estimation ; Physical Sciences ; Science & Technology ; Science & Technology - Other Topics</subject><ispartof>Complexity (New York, N.Y.), 2020, Vol.2020 (2020), p.1-15, Article 1860813</ispartof><rights>Copyright © 2020 Ramadan A. ZeinEldin et al.</rights><rights>COPYRIGHT 2020 John Wiley & Sons, Inc.</rights><rights>Copyright © 2020 Ramadan A. ZeinEldin et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>27</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000522422900002</woscitedreferencesoriginalsourcerecordid><citedby>FETCH-LOGICAL-c465t-6852e6754d6a50c9808acdcafc68ca66fb68569c47ded46cc7825fb509fb9c543</citedby><cites>FETCH-LOGICAL-c465t-6852e6754d6a50c9808acdcafc68ca66fb68569c47ded46cc7825fb509fb9c543</cites><orcidid>0000-0003-1824-7311 ; 0000-0001-9954-0311 ; 0000-0002-0902-8080</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,865,878,2103,2115,4025,27928,27929,27930,28253</link.rule.ids></links><search><contributor>Zhu, Quanmin</contributor><contributor>Quanmin Zhu</contributor><creatorcontrib>Elsehety, Mahmoud</creatorcontrib><creatorcontrib>Hashmi, Sharqa</creatorcontrib><creatorcontrib>Ahsan ul Haq, Muhammad</creatorcontrib><creatorcontrib>ZeinEldin, Ramadan A.</creatorcontrib><title>Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications</title><title>Complexity (New York, N.Y.)</title><addtitle>COMPLEXITY</addtitle><description>In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.</description><subject>Electric power distribution</subject><subject>Estimating techniques</subject><subject>Least squares</subject><subject>Mathematics</subject><subject>Mathematics, Interdisciplinary Applications</subject><subject>Maximum likelihood estimation</subject><subject>Multidisciplinary Sciences</subject><subject>Parameter estimation</subject><subject>Physical Sciences</subject><subject>Science & Technology</subject><subject>Science & Technology - Other Topics</subject><issn>1076-2787</issn><issn>1099-0526</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>AOWDO</sourceid><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><sourceid>DOA</sourceid><recordid>eNqNkUFvEzEQhVcIJErgxhmtxBG29XrXs-tjFFqIFASHcl55x-PGUWIH22ng39fJVu0R5MPYo2-en-YVxfuaXda1EFeccXZV98D6unlRXNRMyooJDi9P9w4q3vXd6-JNjBvGmISmuyjW8-1-rcqf_kihvA3KRePDjnS5dPcUIpUrv1N_yi82pmDHQ7LelUeb1rljDAVyqfxOae11LL0pr2OyO3WGlNPlfL_fWjy_49vilVHbSO8e66z4dXN9u_hWrX58XS7mqwpbEKmCXnCCTrQalGAoe9Yr1KgMQo8KwIyZAIltp0m3gNj1XJhRMGlGiaJtZsVy0tVebYZ9yH7C38ErO5wbPtwNKiSLWxoAmGGtYqZmY8s09iMQ10rAiMCwxaz1cdLaB__7QDENG38ILtsfeNM1UrayPv14OVF3KotaZ3wKCvPRtLPoHRmb-3PgjeQd5DIrPk8DGHyMgcyTzZoNpyCHU5DDY5AZ7yf8SKM3ES05pKeRnKTgvOVc5hvjC5vO-174g0t59NP_jz7Ta-u0Otp_2fow0ZQZMuqZrvNmAJoHLGLICQ</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Elsehety, Mahmoud</creator><creator>Hashmi, Sharqa</creator><creator>Ahsan ul Haq, Muhammad</creator><creator>ZeinEldin, Ramadan A.</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Wiley-Hindawi</general><general>John Wiley & Sons, Inc</general><general>Hindawi Limited</general><general>Hindawi-Wiley</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>AHMDM</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AOWDO</scope><scope>BLEPL</scope><scope>DTL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7XB</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>M2O</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>Q9U</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0003-1824-7311</orcidid><orcidid>https://orcid.org/0000-0001-9954-0311</orcidid><orcidid>https://orcid.org/0000-0002-0902-8080</orcidid></search><sort><creationdate>2020</creationdate><title>Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications</title><author>Elsehety, Mahmoud ; Hashmi, Sharqa ; Ahsan ul Haq, Muhammad ; ZeinEldin, Ramadan A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c465t-6852e6754d6a50c9808acdcafc68ca66fb68569c47ded46cc7825fb509fb9c543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Electric power distribution</topic><topic>Estimating techniques</topic><topic>Least squares</topic><topic>Mathematics</topic><topic>Mathematics, Interdisciplinary Applications</topic><topic>Maximum likelihood estimation</topic><topic>Multidisciplinary Sciences</topic><topic>Parameter estimation</topic><topic>Physical Sciences</topic><topic>Science & Technology</topic><topic>Science & Technology - Other Topics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Elsehety, Mahmoud</creatorcontrib><creatorcontrib>Hashmi, Sharqa</creatorcontrib><creatorcontrib>Ahsan ul Haq, Muhammad</creatorcontrib><creatorcontrib>ZeinEldin, Ramadan A.</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>قاعدة العلوم الإنسانية - e-Marefa Humanities</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>Web of Science - Science Citation Index Expanded - 2020</collection><collection>Web of Science Core Collection</collection><collection>Science Citation Index Expanded</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Research Library</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>ProQuest Central Basic</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Complexity (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Elsehety, Mahmoud</au><au>Hashmi, Sharqa</au><au>Ahsan ul Haq, Muhammad</au><au>ZeinEldin, Ramadan A.</au><au>Zhu, Quanmin</au><au>Quanmin Zhu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications</atitle><jtitle>Complexity (New York, N.Y.)</jtitle><stitle>COMPLEXITY</stitle><date>2020</date><risdate>2020</risdate><volume>2020</volume><issue>2020</issue><spage>1</spage><epage>15</epage><pages>1-15</pages><artnum>1860813</artnum><issn>1076-2787</issn><eissn>1099-0526</eissn><abstract>In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Publishing Corporation</pub><doi>10.1155/2020/1860813</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0003-1824-7311</orcidid><orcidid>https://orcid.org/0000-0001-9954-0311</orcidid><orcidid>https://orcid.org/0000-0002-0902-8080</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1076-2787 |
| ispartof | Complexity (New York, N.Y.), 2020, Vol.2020 (2020), p.1-15, Article 1860813 |
| issn | 1076-2787 1099-0526 |
| language | eng |
| recordid | cdi_emarefa_primary_1139966 |
| source | DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Web of Science - Science Citation Index Expanded - 2020<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" />; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection |
| subjects | Electric power distribution Estimating techniques Least squares Mathematics Mathematics, Interdisciplinary Applications Maximum likelihood estimation Multidisciplinary Sciences Parameter estimation Physical Sciences Science & Technology Science & Technology - Other Topics |
| title | Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-12T01%3A31%3A15IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_emare&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Alpha%20Power%20Transformed%20Inverse%20Lomax%20Distribution%20with%20Different%20Methods%20of%20Estimation%20and%20Applications&rft.jtitle=Complexity%20(New%20York,%20N.Y.)&rft.au=Elsehety,%20Mahmoud&rft.date=2020&rft.volume=2020&rft.issue=2020&rft.spage=1&rft.epage=15&rft.pages=1-15&rft.artnum=1860813&rft.issn=1076-2787&rft.eissn=1099-0526&rft_id=info:doi/10.1155/2020/1860813&rft_dat=%3Cgale_emare%3EA623927662%3C/gale_emare%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2373994914&rft_id=info:pmid/&rft_galeid=A623927662&rft_doaj_id=oai_doaj_org_article_660f04a0f10b40dc8b6e2da56bc60c4c&rfr_iscdi=true |