کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7547671 | 1489806 | 2016 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Estimating the integer mean of a normal model related to binomial distribution
ترجمه فارسی عنوان
برآورد میانگین صحیح یک مدل عادی مربوط به توزیع دوجمله ای
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
چکیده انگلیسی
A problem for estimating the number of trials n in the binomial distribution B(n,p), is revisited by considering the large sample model N(μ,cμ) and the associated maximum likelihood estimator (MLE) and some sequential procedures. Asymptotic properties of the MLE of n via the normal model N(μ,cμ) are briefly described. Beyond the asymptotic properties, our main focus is on the sequential estimation of n. Let X1,X2,â¦,Xm,⦠be iid N(μ,cμ)(c>0) random variables with an unknown mean μ=1,2,⦠and variance cμ, where c is known. The sequential estimation of μ is explored by a method initiated by Robbins (1970) and further pursued by Khan (1973). Various properties of the procedure including the error probability and the expected sample size are determined. An asymptotic optimality of the procedure is given. Sequential interval estimation and point estimation are also briefly discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistical Methodology - Volume 33, December 2016, Pages 192-202
Journal: Statistical Methodology - Volume 33, December 2016, Pages 192-202
نویسندگان
Rasul A. Khan,