منابع مشابه
Unbiased Estimators and Their Applications
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متن کاملUnbiased estimators for correlation measurements.
Higher order correlation measurements involve multiple event averages which must run over unequal events to avoid statistical bias. We derive correction formulas for small event samples, where the bias is largest, and utilize the results to achieve savings in CPU time consumption for the star integral. Results from a simple model of correlations illustrate the utility and importance of these co...
متن کاملStar integrals and unbiased estimators
We review in brief the development and implementation of the Star integral, a tool yielding measurements of correlations much superior to conventional methods. A version for use in pion interferometry is explained. We also show how effects of nonpoissonian overall multiplicity distributions may be eliminated if desired and quote results eliminating statistical biases arising in correlation meas...
متن کاملUnbiased Estimators for Entropy and Class Number
We introduce unbiased estimators for the Shannon entropy and the class number, in the situation that we are able to take sequences of independent samples of arbitrary length. Introduction. This paper supposes that we may pick a sequence of arbitrary length of independent samples w1, w2, . . . from an infinite population. Each sample belongs to one of M classes C1, C2, . . . , CM , and the proba...
متن کاملOptimal Unbiased Estimators for Evaluating Agent Performance
Evaluating the performance of an agent or group of agents can be, by itself, a very challenging problem. The stochastic nature of the environment plus the stochastic nature of agents’ decisions can result in estimates with intractably large variances. This paper examines the problem of finding low variance estimates of agent performance. In particular, we assume that some agent-environment dyna...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2015
ISSN: 0090-5364
DOI: 10.1214/15-aos1311