پديد آورنده :
عسگري، طاهره
عنوان :
مطالعه اي درباره ي مقايسه ي تصادفي آماره هاي ترتيبي
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
آمار اقتصادي - اجتماعي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
دوازده، [۸۸]ص.: مصور، نمودار
استاد راهنما :
مريم كلكين نما
استاد مشاور :
ريحانه ريخته گران
توصيفگر ها :
آماره هاي ترتيبي , مقايسه هاي تصادفي
استاد داور :
مهدي توانگر، ساره گلي
تاريخ ورود اطلاعات :
1397/07/18
چكيده انگليسي :
On the Stochastic Comparisons of Order Statistics Tahere Asgari tahere asgari1371@gmail com 2018 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Maryam Kelkinnama m kelkinnama@cc iut ac ir Advisor Dr Reyhane Rikhtehgaran r rikhtehgaran@cc iut ac ir 2010 MSC 60E15 62G30 62H05 62N05 62D05 Keywords stochastic order usual stochastic order hazard rate order reversed hazard rate order Abstract Comparing two statistical distribution methods is one of the most important topics which havebeen studied over the last four decades The simplest method used in this field is to compare themean of the underlying distributions and in the case of equal means to compare theirs variances In order to make more accurate and more comperhensive comparisons it is better to compare theprobability distributions In this context researchers introduced a new and useful approach calledstochastic orderings Stochastic orders between probability distributions is a widely studied concept There are several kinds of stochastic orders that are used to compare different aspects of probabilitydistributions like location variability skewness dependence etc It is used in many branches ofstatistics and probability such as reliability queuing theory and survival analysis order statistics play a vital role in the lifetime studies and statistical inferences of parameters These order statistics are equal to the lifetime of k out n systems in the field of reliability Thereforethe stochastic comparisons of order statistics have been considered by many researchers In the literature the random variables are considered independent and identically distributed whileit does not occur in practice In this thesis the comparisons of order statistics using the most commonstochastic orders for different conditions of samples of random variables including independent andnon identical dependent and identical and dependent and non identical are investigated When in practice we do not deal with random variables we may consider these variables as membersof a particular family of distributions The most common of these families is a family of proportional
استاد راهنما :
مريم كلكين نما
استاد مشاور :
ريحانه ريخته گران
استاد داور :
مهدي توانگر، ساره گلي
