A simple method for determining the limiting distribution of sample central moments for two-point and Binomial distributions
عنوان مقاله: A simple method for determining the limiting distribution of sample central moments for two-point and Binomial distributions
شناسه ملی مقاله: JR_JSMTA-4-1_001
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_JSMTA-4-1_001
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Binomial distribution, Central moment, Convergence in probability
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1853908/