Archive for the 'VOL-02-02' Category

An Approximation to the Negative Moments of the Positive Binomial Useful in Life Testing

W. MENDENHALL~AND E.H. LEHMAN, JR. North Carolina State College Raleigh, North Carolina The purpose of this paper is to obtain the mean and variance of the maximum likelihood estimator of the scale parameter of a Weibull distribution where the sample is censored at a fixed time. It will be shown Read more


Thursday, May 5th, 1960

Parallel Fractional Replicates

CUTHBERT DANIEL New York City In studying the effects of many factors on several responses the experimenter is sometimes able to say which factors are likely to be influential for each response. This knowledge permits more efficient planning since certain effects and interactions are now Read more


Thursday, May 5th, 1960

Order Statistics from the Gamma Distribution

SHANTI S. GUPTA Bell Telephone Laboratories, Incorporated Allentown, Pennsylvania This paper deals with order statistics from a gamma or x2 (Pearson Type III) distribution. Expressions are derived for the moments of an order statistic and for the covariance between two order statistics. A table Read more


Thursday, May 5th, 1960

The Percentile Points of Distributions Having Known Cumulants

SIR RONALD A. FISHER AND E. A. CORNISH In an earlier study of the uses of moments and cumulants in the specification of statistical distributions, the authors developed explicit asymptotic expansions, expressing any desired percentile point of such distributions in terms of known cumulants. The Read more


Wednesday, May 4th, 1960

Rejection of Outliers*

F. J. ANSCOMBE Princeton University and University of Chicago with collaboration by Irwin Guttman McGill University If one reading is a long way from the rest in a series of replicate determinations, or if in a leas&squares analysis one reading is found to have a much greater residual than Read more


Wednesday, May 4th, 1960

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