Multivariate winning probabilities
نویسندگان
چکیده
منابع مشابه
Multivariate Juggling Probabilities
We consider refined versions of Markov chains related to juggling introduced by Warrington. We further generalize the construction to juggling with arbitrary heights as well as infinitely many balls, which are expressed more succinctly in terms of Markov chains on integer partitions. In all cases, we give explicit product formulas for the stationary probabilities. The normalization factor in on...
متن کاملFluctuations of Martingales and Winning Probabilities of Game Contestants
Within a contest there is some probability Mi(t) that contestant i will be the winner, given information available at time t, and Mi(t) must be a martingale in t. Assume continuous paths, to capture the idea that relevant information is acquired slowly. Provided each contestant’s initial winning probability is at most b, one can easily calculate, without needing further model specification, the...
متن کاملWinning probabilities in a pairwise lottery system with three alternatives
The pairwise lottery system is amultiple round voting procedure which chooses by lot a winner from a pair of alternatives to advance to the next round where in each round the odds of selection are based on each alternative’s majority rule votes. We develop a framework for determining the asymptotic relative likelihood of the lottery selecting in the final round the Borda winner, Condorcet winne...
متن کاملNumerical Computation of Multivariate Normal Probabilities
The numerical computation of a multivariate normal probability is often a diicult problem. This article describes a transformation that simpliies the problem and places it into a form that allows eecient calculation using standard numerical multiple integration algorithms. Test results are presented that compare implementations of two algorithms that use the transformation, with currently avail...
متن کاملComputing and approximating multivariate chi-square probabilities
We consider computational methods for evaluating and approximating multivariate chisquare probabilities in cases where the pertaining correlation matrix or blocks thereof have a low-factorial representation. To this end, techniques from matrix factorization and probability theory are applied. We outline a variety of statistical applications of multivariate chi-square distributions and provide a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2019
ISSN: 0165-0114
DOI: 10.1016/j.fss.2018.09.012