پديد آورنده :
حسن پور خادمي، مريم
عنوان :
مطالعه اي بر آزمون صفر آماسيدگي در توزيع دوجمله اي منفي با دو رويكرد بيز و فراواني گرا
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
آمار رياضي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
استاد راهنما :
زهرا صابري
استاد مشاور :
ريحانه ريخته گران
توصيفگر ها :
آزمون امتياز , پيشين اصلاح شده , پيشين جفريز , پيشين لاپلاس , شبيه سازي
استاد داور :
افشين پرورده، ساره گلي
تاريخ ورود اطلاعات :
1395/01/14
چكيده انگليسي :
A Study for Testing Zero In ation in the Negative Binomial Distribution by using Classical and Bayesian Approaches Maryam Hassanpour Khademi maryam hassanpour@math iut ac ir 2016 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Zahra Saberi z saberi@cc iut ac ir Advisor Dr Reyhaneh Rikhtehgaran r rikhtehgaran@cc iut ac ir 2010 MSC 62J12 62F15 62 07 Keywords Zero in ated negative binomial distribution Score test Modi cation of the prior Je reys prior Laplace s prior Simulation AbstractZero in ated count models provide a method to explain the excess zeros by modeling the data as amixture of two separate distributions one distribution is typically a Poisson or negative binomialdistribution that can generate both zero and nonzero counts and the second distribution is a constantdistribution that generates only zero counts Standard discrete distribution may fail to t such dataeither because of zero in ation or over under dispersion Now there is increased interest in a zeroin ated distribution to account for extra zeros in data Failure to account for extra zeros may result inbiased parameter estimates and misleading inference Because the zero in ated distributions usuallyprovide better statistical t These types of data are commonly found in various scienti c disciplinessuch as biomedical econometrical ecology and health sciences As mentioned above the mixed distribution de nes one of the most important ways to obtain anew probability distribution in applied probability and operational research For the purpose we arelooking for a new zero in ated distribution which is a more exible alternative to t count data withexcess zeros When the underlying count distribution is a negative binomial the mixture is called azero in ated negative binomial ZINB distribution ZINB models are better models to t count data
استاد راهنما :
زهرا صابري
استاد مشاور :
ريحانه ريخته گران
استاد داور :
افشين پرورده، ساره گلي
