Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution
نویسندگان
چکیده
منابع مشابه
Uniform asymptotics of Poisson approximation to the Poisson-binomial distribution
New uniform asymptotic approximations with error bounds are derived for a generalized total variation distance of Poisson approximations to the Poisson-binomial distribution. The method of proof is also applicable to other Poisson approximation problems. MSC 2000 Subject Classifications: Primary 62E17; secondary 60C05.
متن کاملA Nonuniform Bound for the Approximation of Poisson Binomial by Poisson Distribution
It is well known that Poisson binomial distribution can be approximated by Poisson distribution. In this paper, we give a nonuniform bound of this approximation by using Stein-Chen method.
متن کاملMultivariate Poisson–Binomial approximation using Stein’s method
The paper is concerned with the accuracy in total variation of the approximation of the distribution of a sum of independent Bernoulli distributed random d–vectors by the product distribution with Poisson marginals which has the same mean. The best results, obtained using generating function methods, are those of Roos (1998, 1999). Stein’s method has so far yielded somewhat weaker bounds. We de...
متن کاملA refinement of normal approximation to Poisson binomial
Let X1,X2, . . . ,Xn be independent Bernoulli random variables with P(Xj = 1) = 1 − P(Xj = 0)= pj and let Sn := X1 +X2 + ···+Xn. Sn is called a Poisson binomial random variable and it is well known that the distribution of a Poisson binomial random variable can be approximated by the standard normal distribution. In this paper, we use Taylor’s formula to improve the approximation by adding some...
متن کاملON MODALITY AND DIVISIBILITY OF POISSON AND BINOMIAL MIXTURES
Some structural aspects of mixtures, in general, have been previously investigated by the author in [I] and [2]. The aim of this article is to investigate some important structural properties of the special cases of Poisson and binomial mixtures in detail. Some necessary and sufficient conditions are arrived at for different modality and divisibility properties of a Poisson mixture based o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Теория вероятностей и ее применения
سال: 2010
ISSN: 0040-361X
DOI: 10.4213/tvp4202