期刊名称：International Journal of Advanced Statistics and Probability
电子版ISSN：2307-9045
出版年度：2015
卷号：3
期号：1
页码：25-34
DOI：10.14419/ijasp.v3i1.4060
出版社：Journal of Advanced Computer Science & Technology
摘要：Many problems of enzyme kinetics can be described by a function known as the Michaelis-Menten (M-M) function. In this paper, motivated by the importance of Michaelis-Menten function in biochemistry and other biological phenomena, we have introduced a new class of generalized Pearson distribution arising from Michaelis-Menten function. Various properties of this distribution are derived, for example, its probability density function (pdf), cumulative distribution function (cdf), moment, entropy function, and relationships with some well-known continuous probability distributions. The graphs of the pdf and cdf of our new distribution are provided for some selected values of the parameters. It is observed that our new distribution is positively skewed and unimodal. We hope that the findings of this paper will be useful in many applied research problems. 2000 Mathematics Subject Classification : 60E05, 62E10, 62E15.
关键词：Enzyme Kinetics;Generalized Pearson Differential Equation;Generalized Pearson System of Probability Distributions;Michaelis-Menten Function.
