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a simple method for determining the limiting distribution of sample central moments for two-point and binomial distributions
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نویسنده
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abbasi narges ,keshavarz narges ,yarmohammadi masoud ,saadatmand abdollah
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منبع
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journal of statistical modelling: theory and applications - 2023 - دوره : 4 - شماره : 1 - صفحه:1 -10
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چکیده
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Moments play an essential role in the characterization of statistical distributions and criteria such as dispersion, skewness, and kurtosis. this article is a dissection of the central moments of two-point and binomial distributions. first, we consider the bernoulli distribution of the population and generalize the results. with a simple method, we present the condition that when the sample size is large, the structure of the sample central moment consists of random variables independent of standard normal or chi-square or a combination of both. in the obtained results, the role of points that have a probability of 1/2 is very influential in the limit distribution.
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کلیدواژه
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binomial distribution; central moment; convergence in probability
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آدرس
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payame noor university, college of science, department of statistics, iran, payame noor university, college of science, department of statistics, iran, payame noor university, college of science, department of statistics, iran, payame noor university, college of science, department of statistics, iran
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پست الکترونیکی
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a.saadatmand@pnu.ac.ir
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Authors
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