ON EXPECTED VALUES OF MARKOV STATISTICS

Expected Duration of Dynamic Markov PERT Networks

Abstract : In this paper , we apply the stochastic dynamic programming to approximate the mean project completion time in dynamic Markov PERT networks. It is assumed that the activity durations are independent random variables with exponential distributions, but some social and economical problems influence the mean of activity durations. It is also assumed that the social problems evolve in ac...

Tight Bounds on Expected Order Statistics

In this paper, we study the problem of finding tight bounds on the expected value of the kth order statistic E[xk:n] under moment information on n real-valued random variables. Given means E[xi] = μi and variances V ar[xi] = σ i , we show that the tight upper bound on the expected value of the highest order statistic E[xn:n] can be computed with a bisection search algorithm. An extremal discret...

Characterizations of Distributions by Expected Values of Lower Record Statistics with Spacing

Expected values in percentile indicators

PP(top x%) is the proportion of papers of a unit (e.g. an institution or a group of researchers), which belongs to the x% most frequently cited papers in the corresponding fields and publication years. It has been proposed that x% of papers can be expected which belongs to the x% most frequently cited papers. In this Letter to the Editor we will present the results of an empirical test whether ...

On The Expected Values of Distribution of the Sample Range of Order Statistics from the Geometric Distribution