We construct level-α tests for testing the null hypothesis that the mean of a non-negative population falls below a prespecified nominal value. These tests make no assumption about the distribution function other than that it be supported on [0,∞). Simple tests are derived based on either the sample mean or the sample product. The nonparametric likelihood ratio test is also discussed in this co...

We approximate the Bolker-Pacala model of population dynamics with the logistic Markov chain and analyze the latter. We find the asymptotics of the degenerated hypergeometric function and use these to prove a local CLT and large deviations result. We also state global limit theorems and obtain asymptotics for the first passage time to the boundary of a large interval.

objectives: the object of this research was to investigate the «quality of life» and relation to demographic characteristics in elderly peopel of tehran. methods & materials: the method of this research was a descriptive-correlation. in this research 243 of elder were selected with accessible sampling from people who referred to elder centers, cultural centers, and public parks in deferent dist...

distribution of population depends on the distribution of goods and services. the distribution of population is very important not only for its effects on different aspects of population but also because of its relations with the general features of area. programmers can control the distribution of the population if they control the distribution of goods and services. the purpose of the present...