سانسور پي شرونده كلي

General Progressive Censoring

اﻣﺮوزه اﺳﺘﻔﺎده از روش ﻫﺎي ﻣﺨﺘﻠﻒ ﺳﺎﻧﺴﻮر در آزﻣﻮن ﻫﺎي ﻗﺎﺑﻠﯿﺖ اﻋﺘﻤﺎد در ﺻﻨﻌﺖ و آزﻣﻮن ﻫﺎي زﻣﺎن - ﺑﻘﺎ در آزﻣﺎﯾﺸﺎت ﮐﻠﯿﻨﯿﮑﯽ ﻓﺮاﮔﯿﺮ ﺷﺪه اﺳﺖ. ﯾﮑﯽ از اﯾﻦ روش ﻫﺎي ﺳﺎﻧﺴﻮر، ﺳﺎﻧﺴﻮر ﭘﯿﺶ روﻧﺪه ﻧﻮع I وII اﺳﺖ. اﺳﺘﻔﺎده از اﯾﻦ ﻧﻮع ﺳﺎﻧﺴﻮرﻫﺎ، ﻣﻌﺎﯾﺒﯽ ﻧﯿﺰ ﺑﻪ ﻫﻤﺮاه دارد. در اﯾﻦ ﻣﻘﺎﻟﻪ ﺗﻼش ﻣﯽ ﺷﻮد ﺑﺎ اﯾﺠﺎد ﺗﻐﯿﯿﺮاﺗﯽ در ﺳﺎﻧﺴﻮر ﭘﯿﺶ روﻧﺪه ﻧﻮعI ، ﻣﻌﺎﯾﺐ آن ﮐﺎﻫﺶ ﯾﺎﺑﺪ و ﻫﻤﭽﻨﯿﻦ ﯾﮏ ﻃﺮح ﮐﻠﯽ اراﺋﻪ ﮔﺮدد ﮐﻪ ﺳﺎﻧﺴﻮر ﭘﯿﺶ روﻧﺪه ﻧﻮعII را ﻧﯿﺰ ﺷﺎﻣﻞ ﮔﺮدد. اﯾﻦ ﮐﺎر از اﯾﻦ ﻃﺮﯾﻖ ﺻﻮرت ﻣﯽ ﭘﺬﯾﺮد ﮐﻪ ﺑﺮﺧﻼف ﻗﺒﻞ، ﺗﻌﺪاد ﺑﺮداﺷﺖ و زﻣﺎن ﺑﺮداﺷﺖ ﻣﺘﻐﯿﺮﻫﺎي ﺗﺼﺎدﻓﯽ در ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﻣﯽ ﺷﻮﻧﺪ. اﺑﺘﺪا ﺑﻪ ﻣﻌﺮﻓﯽ ﺳﺎﻧﺴﻮرﻫﺎي ﭘﯿﺶ روﻧﺪه ﻧﻮعI II و دو ﻧﻮع از ﺗﻌﻤﯿﻢ ﻫﺎي آن ﻫﺎ ﭘﺮداﺧﺘﻪ ﻣﯽ ﺷﻮد، ﺳﭙﺲ روش ﺳﺎﻧﺴﻮر ﺟﺪﯾﺪ ﺑﺮ ﭘﺎﯾﻪ ﺳﺎﻧﺴﻮر ﭘﯿﺶ روﻧﺪه ﻧﻮع I ﺗﻮﺿﯿﺢ داده و ﺗﺎﺑﻊ ﭼﮕﺎﻟﯽ اﺣﺘﻤﺎل آن ﺑﯿﺎن ﻣﯽ ﮔﺮدد. ﭼﻨﺪ ﺣﺎﻟﺖ ﺧﺎص آن ﻧﯿﺰ ﻣﻌﺮﻓﯽ ﻣﯽ ﺷﻮد و در ﭘﺎﯾﺎن،ﭘﯿﺮاﻣﻮن ﭘﺎراﻣﺘﺮﻫﺎي ﻣﺪل اﺳﺘﻨﺒﺎط آﻣﺎري اﻧﺠﺎم ﻣﯽ ﺷﻮد و در اداﻣﻪ اﻟﮕﻮرﯾﺘﻢ ﺷﺒﯿﻪ ﺳﺎزي ﺳﺎﻧﺴﻮر ﺟﺪﯾﺪ اراﺋﻪ و ﺑﺮاي ﻣﻘﺎﯾﺴﻪ اﯾﻦ ﻃﺮح ﺳﺎﻧﺴﻮر ﺗﻌﻤﯿﻢ ﯾﺎﻓﺘﻪ ﺑﺎ روش ﻫﺎي ﺳﺎﻧﺴﻮر راﯾﺞ، از ﺷﺒﯿﻪ ﺳﺎزي اﺳﺘﻔﺎده ﺧﻮاﻫﺪ ﺷﺪ.

Nowadays, the use of various censorship methods has become widespread in industrial and clinical tests. Type I and Type II progressive censoring are two types of these censors. The use of these censors also has some disadvantages. This article tries to reduce the defects of the type I progressive censoring by making some change to progressive censorship. Considering the number and the time of the withdrawals as a random variable, this is done. First, Type I, Type II progressive censoring and two of their generalizations are introduced. Then, we introduce the new censoring based on the Type I progressive censoring and its probability density function. Also, some of its special cases will be explained and a few related theorems are brought. Finally, the simulation algorithm is brought and for comparison of introduced censorship against the traditional censorships a simulation study was done.