Abstract

Poisson distribution, which provides the probability of events occurring in a settled time interval when events occur at a accurate average rate, is one of the most useful statistical distribution to solve many problems in the world today. In this paper, the definitions and properties of Poisson distribution are introduced. Besides, Poisson distribution is used to predict the household prices and infectious diseases. This prediction is supported by collecting the data and setting the Poisson distribution. Nonetheless, a direct experimental observation of the reviewing literature is lacking. The prediction of household’s prices in the future and the key periods in the infectious disease prevention are discussed by observing the characteristics of distribution of probability of infectious disease in peak period which suit the Poisson distribution. Then Poisson model is set to discuss. Our work can facilitate the study for the application of Poisson distribution in household prices and infectious disease.

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