By Charters Samuel

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Unpublished dissertation to be completed. Robbins, H. (1959), "Sequential Estimation of the Mean of a Normal Population", Probability and Statistics, ed. by U. Grenander, Wiley, 235-245. Starr, N. and Woodroofe, M. B. (1969), "Remarks on Sequential Point Estimation", Nat. Acad. , 63, 285-288. 251 1. 2. 3. 4. 000 f(s*) designates solution of normalized one-armed bandit problem. β is nominal significance level for one-armed bandit problem. Où^ is corresponding number of standard deviations. 2 is function used in the approximation to g C s ^ ^ j S ^ * ) 24 OPTIMIZING METHODS IN STATISTICS which represents the s o l u t i o n of the two-armed bandit problem.

1960). Contributions to Statistical Theory of Life Testing and Reliability. D. dissertation, Michigan State University. University Microfilms, Ann Arbor, Michigan. [26] Dubey, Satya D. (1965a). Asymptotic properties of several estimators of Weibull parameters. Technometrics 7, 423-434. [27] Dubey, Satya D. (1965b). Asymptotically single observation best estimator of exponential expected life. Sankhya A 27, 133-142. [28] Dubey, Satya D. (1967a). Some percentile estimators for Weibull parameters.

Camb. Philos. Soc. 14,(2), 138-169. [31] Elwer, Gale E. (1967). Conditional Linear Estimation of the Scale Parameter of the Extreme-Value Distribution by Use of Selected Order Statistics from Doubly Censored Samples. Unpublished M. S. thesis (GRE/Math/ 67-1), Air Force Institute of Technology. [32] Epstein, Benjamin (1956). Simple estimators of the parameters of exponential distributions when samples are censored. Ann. Inst. Statist. Math. £, 15-26. [33] Fratzke, William F. (1967). Simultaneous Linear Estimation of the Location and Scale Parameters of the Extreme-Value Distribution Using Selected Order Statistics from Doubly Censored Samples.

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A sermon on alms by Charters Samuel

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