An extension of truncated Poisson distribution having two parameters for a group of two types of population is derived and named as Bounded Poisson (BP) distribution. To estimate the parameters, method of moment has been employed. To check the suitability and applicability of the model it has been applied on real data set on human fertility derived from the third round of National Family Health Survey conducted in 2005-06 in Uttar Pradesh, India. Proposed model provides a good fitting to the data under consideration.
Abstract: The study of pattern of female child birth is one of the most crucial area of human demography because it plays very important role in the building of a nation. In the present study, an attempt has been made to work-out the pattern of female child births among females belongs to different subdomains of population through the probability model and the parameters involved in the probability model under consideration has also been estimated. The suggested model, for illustration has been applied to an observed set of data taken from NFHS-III (2005-06) for the seven North East states of India known as Seven Sisters.