Estimation of the Mean and Standard Deviation of a Normal Distribution Based Upon Centrally Restricted Samples PDF Download

Author: John Victor Hancock
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 160

View

Book Description

Author: N. Balakrishnan
Publisher:
ISBN:
Category : Estimation theory
Languages : en
Pages : 43

View

Book Description

Author: Jackson S. Simpson
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 320

View

Book Description
The method of least squares can be applied to order statistics of the Normal and Logistic distributions to estimate linearly the mean and standard deviation. For doubly censored samples of ordered observations, coefficients of estimation using the best L order statistics, where L is less than or equal to m (the number of observations remaining after censoring) were calculated and tabled. The efficiencies of the L-order-statistic estimators relative to the m-order statistic estimators are also tabled. Information concerning the Normal and Logistic distributions, their moments, and order statistics is given general coverage. (Author).

Author: Churchill Eisenhart
Publisher:
ISBN:
Category : Sampling (Statistics)
Languages : en
Pages : 20

View

Book Description
The note includes a collection of tables useful for study of the sampling distributions of some frequently-used statistics, with brief discussions of their construction and use: (1) The probability level P(epsilon, n) of any continuous parent distribution corresponding to level epsilon of the distribution of the median; (2) Probability points of certain sample statistics for samples from six distributions: normal and double-exponential (mean, median), rectangular (mean, median, midrange), Cauchy, Sech, Sech squared (median). In all the above tables, the sample size n = 3(2)15(10)95 and the probability levels are epsilon = .001, .005, .01, .025, .05, .10, .20, .25. Together with the tables listed under (2) are given the values of certain ratios useful for comparing the various statistics. (3) Probability that the standard deviation of a normal distribution will be underestimated by the sample standard deviation s and by unbiased estimators of sigma based on s, on the mean deviation, and on the sample range. Divisors are given for obtaining the corresponding 'median unbiased' estimators. (Author).

Author: N. Balakrishnan
Publisher:
ISBN:
Category :
Languages : en
Pages : 21

View

Book Description

Author: Mukul Mohan Mittal
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 180

View

Book Description

Author: Defense Documentation Center (U.S.)
Publisher:
ISBN:
Category : Operations research
Languages : en
Pages : 140

View

Book Description

Author: Mao-Sen Yieh
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 182

View

Book Description

Author: Churchill Eisenhart
Publisher: Forgotten Books
ISBN: 9780483357532
Category :
Languages : en
Pages : 0

View

Book Description
Excerpt from Tables Describing Small-Sample Properties of the Mean, Median, Standard Deviation, and Other Statistics in Sampling From Various Distributions This note includes a collection of tables useful for study of the sampling distributions of some frequently-used statistics, with brief dis eussions of their construction and use. (1) The probability level P(e, n) of any continuous parent distribution corresponding to level 6 of the distribution of the median. (2) Probability points of certain sample statistics for samples from six distributions: normal and double exponential (mean, median), rectangular (mean, median, midrange), Cauchy, Sech, Sech2 (median). In all the above tables, the sample size n and the probability levels are e £001, 005, 01, 025, 05, 10, 20, 25. Together with the tables listed under (2) are given the values of certain ratios useful for comparing the various statistics. (3) Probability that the standard deviation of a normal distribution will be underestimated by the sample standard deviation 5 and by unbiased estimators of 0 based on s, on the mean deviation, and on the sample range. Divisors are given for obtaining the corresponding median unbiased estimators. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: Jagdish K. Patel
Publisher: CRC Press
ISBN: 9780824793425
Category : Mathematics
Languages : en
Pages : 452

View

Book Description
"Traces the historical development of the normal law. Second Edition offers a comprehensive treatment of the bivariate normal distribution--presenting entirely new material on normal integrals, asymptotic normality, the asymptotic properties of order statistics, and point estimation and statistical intervals."