{"product_id":"progressively-type-ii-censored-order-statistics-and-characterizations-von-tugba-yildiz-und-ismihan-bayramoglu","title":"Progressively Type II Censored Order Statistics and Characterizations","description":"\u003cp\u003eThe theory of ordered random variables is used in  many fields of statistical science and inference.  Some of ordered random variable models are order  statistics, progressively censored order  statistics, record values and generalized order  statistics. Each one of these models has different  interpretations and interesting applications in  many fields, for example, in survival analysis,  reliability theory, financial economics, etc. In  this work, the joint probability density function  of nonadjacent Progressively Type II censored order  statistics is presented. It is proved that  Progressively Type II censored order statistics are  reduced to order statistics for special censoring  scheme. This reduction theorem enables to extend  distributional properties of order statistics into  properties of Progressively Type II censored order  statistics with this censoring scheme. Then by  using this result, for a general class of  distributions some characterizations through the  properties of conditional expectations of order  statistics and Progressively Type II censored order  statistics are given.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844303704\"\u003e\u003ch3\u003efor Some Special Distributions\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844303704","offer_id":39470088814685,"sku":"9783844303704","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/716ad8c5-a542-4f5a-a9e9-8b03010bc4c5.jpg?v=1769667229","url":"https:\/\/shop.autorenwelt.de\/products\/progressively-type-ii-censored-order-statistics-and-characterizations-von-tugba-yildiz-und-ismihan-bayramoglu","provider":"Autorenwelt Shop","version":"1.0","type":"link"}