This paper presents the analysis of a renewal input  finite buffer queue wherein the customers can decide either to  join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed  by an underlying $m$-state Markov chain. Employing the supplementary  variable and imbedded Markov chain techniques,   the steady-state system length distributions at pre...

meteorological stations usually contain some missing data for different reasons.there are several traditional methods for completing data, among them bivariate and multivariate linear and non-linear correlation analysis, double mass curve, ratio and difference methods, moving average and probability density functions are commonly used. in this paper a blended model comprising the bivariate expo...

Hidden state models are among the most widely used and efficient schemes for solar irradiance modeling in general forecasting particular. However, complexity of such – terms number states is usually needed to be specified a priori. For data this assumption very difficult justify. In paper, an infinite hidden Markov model (InfHMM) introduced short-term probabilistic irradiance, where fixed prior...

In this paper, Markov chain is used to model the reproduction of fixed finite population, and use binomial distribution discuss probability gen inheritance between generations population genes establish transfer matrix ,using conditional mathematics expect obtain absorption at 0 2N only depends on initial fraction A gene, also must be a fixation gene , conclusion same as results MATLAB simulati...

The onset of the COVID-19 pandemic has increased volatility in financial markets, motivating researchers to investigate its impact. Some use GARCH family models focus on long-memory persistence, while others Markov chain better identify structural breaks and regimes. However, no study addressed occurrence these two phenomena a unified framework. Since both are important features data, ignore on...

A lockup period for investment in a hedge fund is a time period after making the investment during which the investor cannot freely redeem his investment. It is routine to have a one-year lockup period, but recently the requested lockup periods have grown longer. We estimate the premium for such extended lockup, taking the point of view of a manager of a fund of funds, who has to choose between...

A lockup period for investment in a hedge fund is a time period after making the investment during which the investor cannot freely redeem his investment. It is routine to have a one-year lockup period, but recently the requested lockup periods have grown longer. Assuming that the investor will rebalance his portfolio of hedge funds on a yearly basis, if permitted, we define the annual lockup p...