A simple method for determining the limiting distribution of sample central moments for two-point and Binomial distributions
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 61
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شناسه ملی سند علمی:
JR_JSMTA-4-1_001
تاریخ نمایه سازی: 24 آذر 1402
چکیده مقاله:
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 ۱/۲ is very influential in the limit distribution.
کلیدواژه ها:
نویسندگان
Narges Abbasi
Department of Statistics, University of Payame Noor, Tehran, Iran
Narges Keshavarz
Department of Statistics, University of Payame Noor, Tehran, Iran
Masoud Yarmohammadi
Department of Statistics, University of Payame Noor, Tehran, Iran
Abdollah Saadatmand
Department of Statistics, University of Payame Noor, Tehran, Iran