10562

9745

كارشناسي ارشد

آمار رياضي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1394

ده، 113ص.: مصور

سروش عليمرادي

ساره گلي

1394/08/05

ايرج كاظمي، زهرا صابري

1396/10/05

كتابنامه

علوم رياضي

رياضي

ID9745

Estimation of the Stress Strength Reliability for the Generalized Logistic Distribution Akbar Farokhi Nejad Anari a farokhi@math iut ac ir 2015 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 IranSupervisor Dr Soroush Alimoradi salimora@cc iut ac ir Advisor Dr Sareh Goli s goli@cc iut ac ir 2010 MSC 62F05 62F10 62F15 62F40 Keywords Maximum likelihood estimator Bootstrap con dence Bayesian estima tion Metropolis Hasting method AbstractThis M Sc thesis is based on the following paper Estimation of the Stress A Asgharzadeh R Valiollahi mohammad Z Raqab Strength Reliability for the Generalized Logistic Distribution Statistical Methodology Vol 15 pp 73 94 2013 The problem of estimating R P Y X where X and Y are independent randomvariables has received a continuous interest It is referred to as the reliability parameterthat one random variable exceeds another If X Y then either the component failsor the system that uses the component may malfunction This problem also arises insituations where X and Y represent lifetimes of two devices and one wants to estimate theprobability that one fails befor the other So R P r Y X is a measure of componentreliability It has many applications esoecially in electrical electronic and mechanical systems suchas fatigue failure of aircraft structures and the aging of concrete pressure vessels It hasalso some applications in biological medical and health service research Balakrishnan and leung 12 de ned the generalized logistic GL distribution as one of

سروش عليمرادي

ساره گلي

ايرج كاظمي، زهرا صابري