b a c k g r o u n d & aim: the excess hazard rate proposed by andersen and vaeth may underestimate the long-term excess hazard rate for cancer survival. zahl explained the phenomenon by continuous selection of the most robust individuals after diagnosis. he applied correlated inverse gaussian and gamma  frailty  models  to estimate  excess  intensity  and reached  a better  estimate  of the rat...

In this paper, a discrete Poisson-Garima distribution has been obtained by compounding Poisson distribution with Garima distribution introduced by Shanker [1]. The general expression for the th factorial moment has been derived and hence moments about origin and central moments have been obtained. The expression for coefficient of Variation, skewness, kurtosis and index of dispersion has been g...

exist. We shall prove that under certain conditions we obtain (1) as a limit distribution of double sequences of independent and infinitesimal random variables and apply this theorem to stochastic processes with independent increments. Theorem 1 Let ξn1, ξn2, . . . , ξnkn (n = 1, 2, . . .) be a double sequence of random variables. Suppose that the random variables in each row are independent, t...

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...

The Generalized Poisson Distribution (GPD) adds an extra parameter to the usual Poisson distribution. This parameter induces a loss of homogeneity in the stochastic processes modeled by the distribution. Thus, the generalized distribution becomes an useful model for counting processes where the occurrence of events is not homogeneous. This model creates the need for an inferential procedure, to...

the seasonal abundance patterns of the cotton aphid, aphis gossypii glover, in cotton fields at gorgan in northern iran were studied during two growing seasons of 2002 and 2003. the spatial distribution of different developmental stages and morphs of the aphid was described by fitting data to poisson (random) and negative binomial (aggregated) dis-tributions, and calculating the dispersion indi...