An upper and lower bound are presented for the difference between the distribution functions of noncentral chi-square variables with the same degrees of freedom and different noncentralities. The inequalities are applied in a comparison of two approximations to the power of Pearson's chi-square test
summary:Properties satisfied by the moments of the partial non-central $\chi$-square distribution fu...
AbstractIn this paper we consider the probability density function (pdf) of a non-central χ2 distrib...
The purpose of this paper is to give an explicit estimator dominating the positive part of the UMVUE...
Some new upper bounds for noncentral chi-square cdf are derived from the basic symmetries of the mul...
We investigate the distribution of the Pearson statistics in the goodness-of- fit test of discrete ...
We obtain a new sharp lower estimate for tails of the central chi-square distribution. Using it we p...
The quantiles of the central and non-central chi squared distributions cannot be expressed as explic...
This article provides an alternative method to derive the noncentral chi-square distribution. This m...
In this paper, we prove a local limit theorem for the chi-square distribution with $r > 0$ degrees o...
We provide a nonasymptotic bound on the distance between a noncentral chi square distribution and a ...
The Chi-square distribution is used quite often in Monte Carlo studies to examine statistical power ...
A new simple approach to the noncentral chi-square distribution is discussed in this paper.Different...
The chi-square distribution is often assumed to hold for the asymptotic distribution of two times th...
We derive Laguerre expansions for the density and distribution functions of a sum of positive weight...
The unbalanced non-central chi-square distribution with 1 degree of freedom, introduced (and called ...
summary:Properties satisfied by the moments of the partial non-central $\chi$-square distribution fu...
AbstractIn this paper we consider the probability density function (pdf) of a non-central χ2 distrib...
The purpose of this paper is to give an explicit estimator dominating the positive part of the UMVUE...
Some new upper bounds for noncentral chi-square cdf are derived from the basic symmetries of the mul...
We investigate the distribution of the Pearson statistics in the goodness-of- fit test of discrete ...
We obtain a new sharp lower estimate for tails of the central chi-square distribution. Using it we p...
The quantiles of the central and non-central chi squared distributions cannot be expressed as explic...
This article provides an alternative method to derive the noncentral chi-square distribution. This m...
In this paper, we prove a local limit theorem for the chi-square distribution with $r > 0$ degrees o...
We provide a nonasymptotic bound on the distance between a noncentral chi square distribution and a ...
The Chi-square distribution is used quite often in Monte Carlo studies to examine statistical power ...
A new simple approach to the noncentral chi-square distribution is discussed in this paper.Different...
The chi-square distribution is often assumed to hold for the asymptotic distribution of two times th...
We derive Laguerre expansions for the density and distribution functions of a sum of positive weight...
The unbalanced non-central chi-square distribution with 1 degree of freedom, introduced (and called ...
summary:Properties satisfied by the moments of the partial non-central $\chi$-square distribution fu...
AbstractIn this paper we consider the probability density function (pdf) of a non-central χ2 distrib...
The purpose of this paper is to give an explicit estimator dominating the positive part of the UMVUE...
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