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Some monotonicity properties of symmetric Polya densities and their exponential families. (English) Zbl 0362.60039


MSC:

60E05 Probability distributions: general theory
62H15 Hypothesis testing in multivariate analysis
62L10 Sequential statistical analysis
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References:

[1] Berk, R. H., Locally most powerful sequential tests, Ann. Statist., 3, 373-381 (1973) · Zbl 0332.62063
[2] Efron, B., Increasing properties of Pólya frequency functions, Ann. Statist., 36, 272-279 (1965) · Zbl 0134.36704
[3] Hoeffding, W., Lower bounds for the expected sample size and the average risk of a sequential procedure, Ann. Statist., 31, 352-368 (1960) · Zbl 0098.32705
[4] Karlin, S., Total Positivity, vol. 1 (1968), Stanford: Stanford U. Press, Stanford · Zbl 0219.47030
[5] Lehmann, E. L., Testing Statistical Hypotheses (1959), New York: Wiley, New York · Zbl 0089.14102
[6] Weiss, L., On sequential tests which minimize the maximum expected sample size, J. Amer. Statist. Assoc., 57, 551-566 (1962) · Zbl 0114.10304
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