The English Premier League is the top division league in England, most popular football for fans. competition date 2021/2022 season was announced on March 25, 2021 and schedule released June 16, 2021. Manchester City won last (2020/2021). purpose of this study to find out results Naive Bayes' accuracy determining which team deserves win does not deserve final standings. method used prediction N...

We investigate why discretization is effective in naive-Bayes learning. We prove a theorem that identifies particular conditions under which discretization will result in naiveBayes classifiers delivering the same probability estimates as would be obtained if the correct probability density functions were employed. We discuss the factors that might affect naive-Bayes classification error under ...

Consider the problem of estimating normal means from independent observations with known variances, possibly different from each other. Suppose that a second-level normal model is specified on the unknown means, with the prior means depending on a vector of covariates and the prior variances constant. For this two-level normal model, existing empirical Bayes methods are constructed from the Bay...

In this paper we consider the application of a naïve Bayes model for the evaluation of fraud risk connected with government agencies. This model applies probabilistic classifiers to support a generic risk assessment model, allowing for more efficient and effective use of resources for fraud detection in government transactions, and assisting audit agencies in transitioning from reactive to proa...

We discuss the implications of Bayes’ postulate in the setting of exchangeable Bernoulli random variables. Bayes’ postulate, here, stipulates a uniform distribution on the total number of successes in any number of trials. For an infinite sequence of exchangeable Bernoulli variables the conditions of Bayes’ postulate are equivalent to a uniform (prior) distribution on the underlying mixing vari...

McAllester’s PAC-Bayes theorem (strengthened by [4]) characterizes the convergence of a stochastic classifier’s empirical error to its generalization error. Fixed one ”prior” distribution P (h) over hypothesis space H, the theorem can hold for all ”posterior” distribution Q(h) over H simultaneously, so in practice we can find a data-dependent posterior distribution overH as the distribution of ...

The Bayes’ theorem is a mathematical formula to gauge and describe the probability of an event by employing prior knowledge evidence relevant event. objective present study was understand Bayesian its application in judicial trials deploying doctrinal research methodology. After consulting authoritative writings prominent researchers decisions, found that Probability legal context used odds ver...

This paper concerns some aspects of rough set based data analysis. In particular rough set look on Bayes’ formula leads to new methodology of reasoning from data and shows interesting relationship between Bayes’ theorem, rough sets and flow graphs. Three methods of flow graphs application in drawing conclusions from data are presented and examined. MOTTO: “It is a capital mistake to theorise be...