منابع مشابه
On the Mean Absolute Error in Inverse Binomial Sampling
A closed-form expression and an upper bound are obtained for the mean absolute error of the unbiased estimator of a probability in inverse binomial sampling. The results given permit the estimation of an arbitrary probability with a prescribed level of the normalized mean absolute error.
متن کاملBinomial Sampling and the Binomial Distribution
This is a good place to point out that these are only (approximating) , and not full truth. models Truth is not a model. A model, by definition, is an approximation (and not truth). In fact, out of a few million coin flips, one or more coins will remain standing on edge – that is truth. The binomial model does not allow such reality. The idea is more easily understood for the outcomes “dead" or...
متن کاملOn the Simple Inverse Sampling with Replacement
In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the post-stratification approach. We also compare the efficiency of resulting estimators together with Murthy's estimator. We show that in despite of general belief, the strategy consisting of inverse s...
متن کاملEstimation of a probability with optimum guaranteed confidence in inverse binomial sampling
Sequential estimation of a probability p by means of inverse binomial sampling is considered. For μ1, μ2 > 1 given, the accuracy of an estimator p̂ is measured by the confidence level Pr[p/μ2 ≤ p̂ ≤ pμ1]. The confidence levels c0 that can be guaranteed for p unknown, i.e. such that Pr[p/μ2 ≤ p̂ ≤ pμ1] ≥ c0 for all p ∈ (0, 1), are investigated. It is shown that, within the general class of randomiz...
متن کاملSelf-inverse Sequences Related to a Binomial Inverse Pair
Recently, Sun[5] studied self-inverse sequences by using of their generating functions and gave many interesting examples and results of self-inverse sequences. In this paper, we explore self-inverse sequences by means of linear transformations, difference operators and the umbral calculus. We obtain various characterizations of self-inverse sequences from these different approaches. For S we s...
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ژورنال
عنوان ژورنال: Nature
سال: 1945
ISSN: 0028-0836,1476-4687
DOI: 10.1038/156115b0