On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties
<p dir="ltr">Currently, progressive censoring is intensively investigated by several researchers due to its ability to remove subjects from the experiment before the final termination point, thus saving time and cost. The closed form of marginal density of failure times under progres...
محفوظ في:
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| مؤلفون آخرون: | |
| منشور في: |
2017
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| الموضوعات: | |
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إضافة وسم
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| _version_ | 1864513522155651072 |
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| author | Amal Helu (12536797) |
| author2 | Hani Samawi (12113186) |
| author2_role | author |
| author_facet | Amal Helu (12536797) Hani Samawi (12113186) |
| author_role | author |
| dc.creator.none.fl_str_mv | Amal Helu (12536797) Hani Samawi (12113186) |
| dc.date.none.fl_str_mv | 2017-08-11T09:00:00Z |
| dc.identifier.none.fl_str_mv | 10.4236/ojs.2017.74044 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/On_Marginal_Distributions_under_Progressive_Type_II_Censoring_Similarity_Dissimilarity_Properties/31446043 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Statistics Weitzman’s Measure Progressive Censoring Marginal Density Type II Censoring |
| dc.title.none.fl_str_mv | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">Currently, progressive censoring is intensively investigated by several researchers due to its ability to remove subjects from the experiment before the final termination point, thus saving time and cost. The closed form of marginal density of failure times under progressive type II censoring is essential to study the properties of statistical analysis under different censoring schemes. In this paper, we provide a different presentation of the marginal distribution under progressive type-II censoring and we derive closed forms for different special cases. In order to study the similarity/dissimilarity of marginal densities of order statistics for failure times, the overlap measure is used. We discovered that the overlap measure depends only on the effective size <i>m</i>. A numerical example based on a real life data regarding failure times of aircrafts' windshields is provided to quantify the amount of redundant information provided by the order statistics of the failure times under different progressive type-II schemes based on the overlap measure. Moreover, this data set is used as a pilot study to estimate the effective size <i>m</i> needed for future studies.</p><h2 dir="ltr">Other Information</h2><p dir="ltr">Published in: Open Journal of Statistics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.4236/ojs.2017.74044" target="_blank">https://dx.doi.org/10.4236/ojs.2017.74044</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_14f89f7d01f7370e2b32355e21b7737e |
| identifier_str_mv | 10.4236/ojs.2017.74044 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/31446043 |
| publishDate | 2017 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity PropertiesAmal Helu (12536797)Hani Samawi (12113186)Mathematical sciencesApplied mathematicsStatisticsWeitzman’s MeasureProgressive CensoringMarginal DensityType II Censoring<p dir="ltr">Currently, progressive censoring is intensively investigated by several researchers due to its ability to remove subjects from the experiment before the final termination point, thus saving time and cost. The closed form of marginal density of failure times under progressive type II censoring is essential to study the properties of statistical analysis under different censoring schemes. In this paper, we provide a different presentation of the marginal distribution under progressive type-II censoring and we derive closed forms for different special cases. In order to study the similarity/dissimilarity of marginal densities of order statistics for failure times, the overlap measure is used. We discovered that the overlap measure depends only on the effective size <i>m</i>. A numerical example based on a real life data regarding failure times of aircrafts' windshields is provided to quantify the amount of redundant information provided by the order statistics of the failure times under different progressive type-II schemes based on the overlap measure. Moreover, this data set is used as a pilot study to estimate the effective size <i>m</i> needed for future studies.</p><h2 dir="ltr">Other Information</h2><p dir="ltr">Published in: Open Journal of Statistics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.4236/ojs.2017.74044" target="_blank">https://dx.doi.org/10.4236/ojs.2017.74044</a></p>2017-08-11T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.4236/ojs.2017.74044https://figshare.com/articles/journal_contribution/On_Marginal_Distributions_under_Progressive_Type_II_Censoring_Similarity_Dissimilarity_Properties/31446043CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/314460432017-08-11T09:00:00Z |
| spellingShingle | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties Amal Helu (12536797) Mathematical sciences Applied mathematics Statistics Weitzman’s Measure Progressive Censoring Marginal Density Type II Censoring |
| status_str | publishedVersion |
| title | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| title_full | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| title_fullStr | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| title_full_unstemmed | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| title_short | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| title_sort | On Marginal Distributions under Progressive Type II Censoring: Similarity/Dissimilarity Properties |
| topic | Mathematical sciences Applied mathematics Statistics Weitzman’s Measure Progressive Censoring Marginal Density Type II Censoring |