Add to ORKGLet 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 correction terms. Our result is better than before and is of order 1/n in the case p1 = p2 = ·· · = pn
AbstractThe Markov binomial distribution is approximated by the Poisson distribution with the same m...
Let p be given, 0 < p < 1. Let n and k be positive integers such that np ≤ k ≤ n, ...
The problem of evaluating the accuracy of Poisson approximation to the distribution of a sum of inde...
Let X1,X2,...,Xn be independent Bernoulli random variables with P(Xj = 1) = 1 − P(Xj = 0) = pj and ...
Let X1,X2,…,Xn be independent Bernoulli random variables with P(Xj=1)=1−P(Xj=0)=pj and let Sn:=X1+X2...
If ƛ is a positive integer, then a Poisson random variable with parameter ƛ can be thought of as a s...
If a coin that comes up heads with probability p is tossed n times, the number of heads observed fol...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
Abstract. In this paper we show that Uspensky's expansion theorem for the Poisson approximation...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
Thesis (M.A.)--Boston UniversityThis thesis provides a discussion of various approximations to the c...
[[sponsorship]]統計科學研究所[[note]]已出版;[SCI];有審查制度;具代表性[[note]]http://gateway.isiknowledge.com/gateway/Ga...
[[abstract]]It is a common practice to approximate a binomial distribution by a suitable normal dist...
[[abstract]]Approximating a binomial distribution by a suitable normal distribution is a well known ...
Calculation of Poisson probabilities frequently involves calculating high factorials, which becomes ...
AbstractThe Markov binomial distribution is approximated by the Poisson distribution with the same m...
Let p be given, 0 < p < 1. Let n and k be positive integers such that np ≤ k ≤ n, ...
The problem of evaluating the accuracy of Poisson approximation to the distribution of a sum of inde...
Let X1,X2,...,Xn be independent Bernoulli random variables with P(Xj = 1) = 1 − P(Xj = 0) = pj and ...
Let X1,X2,…,Xn be independent Bernoulli random variables with P(Xj=1)=1−P(Xj=0)=pj and let Sn:=X1+X2...
If ƛ is a positive integer, then a Poisson random variable with parameter ƛ can be thought of as a s...
If a coin that comes up heads with probability p is tossed n times, the number of heads observed fol...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
Abstract. In this paper we show that Uspensky's expansion theorem for the Poisson approximation...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
Thesis (M.A.)--Boston UniversityThis thesis provides a discussion of various approximations to the c...
[[sponsorship]]統計科學研究所[[note]]已出版;[SCI];有審查制度;具代表性[[note]]http://gateway.isiknowledge.com/gateway/Ga...
[[abstract]]It is a common practice to approximate a binomial distribution by a suitable normal dist...
[[abstract]]Approximating a binomial distribution by a suitable normal distribution is a well known ...
Calculation of Poisson probabilities frequently involves calculating high factorials, which becomes ...
AbstractThe Markov binomial distribution is approximated by the Poisson distribution with the same m...
Let p be given, 0 < p < 1. Let n and k be positive integers such that np ≤ k ≤ n, ...
The problem of evaluating the accuracy of Poisson approximation to the distribution of a sum of inde...