Other language title :
ﻣﻌﺮﻓﻲ ﻣﺪلﻫﺎي ﺷﻮك - ﻗﺪرت ﺷﺮﻃﻲ
Title of article :
Introduction to Reliability for Conditional Stress-Strength Parameter
Author/Authors :
Saber, M Department of Statistics- Higher Education Center of Eghlid - Eghlid, Islamic Republic of Iran , Khorshidian, K Department of Statistics - Faculty of Sciences - Shiraz University - Shiraz, Islamic Republic of Iran
Abstract :
In this article, a new proper and favorite stress-strength parameter has been
introduced. The maximum likelihood and uniformly minimum variance unbiased
estimators of the purposed parameter have been derived for the Exponential distribution.
Moreover, the nonparametric estimator of this parameter has also been obtained as well
as some important properties of this estimator. A simulation study and the analysis of a
real data set have been done for illustrative purposes.
Farsi abstract :
ﻣﺪلﻫﺎي ﺷﻮك-ﻗﺪرت در ﺳﺎلﻫﺎي اﺧﻴﺮ اﺳﺘﻔﺎده زﻳـﺎدي در ﻋﻠـﻮم داﺷـﺘﻪ اﻧـﺪ. در اﻳـﻦ ﻣﻘﺎﻟـﻪ ﺗﻌﻤﻴﻤـﻲ ﭘﺮﻛﺎرﺑﺮد از اﻳﻦ ﻣﺪلﻫﺎ ﻣﻌﺮﻓﻲ ﻣﻲﮔﺮدد. ﺑﺮآوردﮔﺮ درﺳﺘﻨﻤﺎﻳﻲ ﻣﺎﻛﺰﻳﻤﻢ، ﺗﻮزﻳﻊ ﻣﺠﺎﻧﺒﻲ، ﻓﺎﺻﻠﻪ اﻃﻤﻴﻨـﺎن و ﺑﺮآوردﮔﺮﻫﺎي ﻧﺎارﻳﺐ ﺑﺎ وارﻳﺎﻧﺲ ﺑﻬﻴﻨﻪ ﺑﻄﻮر ﻳﻜﻨﻮاﺧﺖ ﺑﺮاي ﭼﻨﻴﻦ ﻣـﺪﻟﻲ در ﺣـﺎﻟﺘﻲ ﻛـﻪ ﺗﻮزﻳـﻊ داده ﻫـﺎ ﻧﻤﺎﻳﻲ ﺑﺎﺷﺪ ﺑﺪﺳﺖ آورده ﻣﻲﺷﻮد. در ﺣﺎﻟﺖ ﻧﺎﭘﺎراﻣﺘﺮي ﻧﻴﺰ اﻳﻦ ﻣﺪلﻫﺎ ﻣﻮرد ﻣﻄﺎﻟﻌﻪ ﻗـﺮار ﺧﻮاﻫﻨـﺪ ﮔﺮﻓـﺖ. ﻧﻬﺎﻳﺘﺎ ﺑﻪ ﻣﻨﻈﻮر ﺑﺮرﺳﻲ ﻣﺰﻳﺖ ﻣﺪل اراﻳﻪ ﺷﺪه ﻳﻚ ﻣﻄﺎﻟﻌﻪ ﺷﺒﻴﻪ ﺳﺎزي ﺑﻪ ﻫﻤﺮاه ﻳﻚ ﻣﺜـﺎل از ﻛـﺎرﺑﺮد ﻣـﺪل ﻣﻮرد ﻧﻈﺮ ﺑﻪ ﻳﻚ ﻣﺠﻤﻮﻋﻪ داده واﻗﻌﻲ ﻓﺮاﻫﻢ ﺷﺪه اﺳﺖ.
Keywords :
Consistent estimator , UMVUE , Stress-Strength parameter , Multivariate Delta method
Journal title :
Journal of Sciences Islamic Republic of Iran
