Traditional asymptotic analysis techniques fail for lognormal random variables (RV) because a lognormal probability density function cannot be quantified by Taylor series at the origin, and the moment ...

1 Introduction. Consider a real-valued random variable X on a sample space Ω ⊆ R with density f(x) and cumulative distribution function F(x) [].If X is a discrete random variable, then Ω is some ...

The two functions are also related mathematically — you can obtain the cumulative distribution function of a random variable by integrating its probability density function. However, there are ...

In Figure 1 can be compared the curves of the uniformly minimum-variance unbiased estimator for the gamma cumulative distribution function F ^ (UMVUE) and the empirical cumulative function (ECF), both ...

Probability density function is a statistical expression defining the likelihood of a series of outcomes for a continuous variable, ... A cumulative distribution function (CDF) ...

Abstract. The purpose of this paper is to introduce a size biased Lindley distribution which is a special case of weighted distributions. Weighted distributions have practical significance where some ...