Abstract This paper proposes a simulation algorithm of transition probability function based on logistic distribution. method mainly models popularity and state functions by acquiring consumers' music preferences likes. Through this mathematical model, obtains the best results that are more in line with consumer preference. conducts experiment collecting Netease cloud data. Finally, through com...

In this paper, a new three-parameter lifetime model called the Topp–Leone odd log-logistic exponential distribution is proposed. Its density function can be expressed as linear mixture of exponentiated densities and reversed-J shaped, skewed to left right. Further, hazard rate monotone, unimodal, constant, J-shaped, constant-increasing-decreasing decreasing-increasing-decreasing bathtub-shaped....