First Sentence:
The beta function is defined by, a>0, b>0.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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beta distributed with parameters, hypergeometric pdfs, noncentral beta distribution, noncentral beta pdfs, standard beta pdf, quantile constraint, historical control series, generalized beta distribution, log beta distribution, beta conditionals, standard beta distribution, fecundability studies, independent beta random variables, independent beta variables, power function distribution, historical control information, sampling compartments, beta distribution function, renewal epochs, arc sine law, ordinary renewal process, beta model, quantal bioassay, alternating renewal processes, beta distribution with parameters
Key Phrases - Capitalized Phrases (CAPs):
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New York, Journal of the American Statistical Association, Annals of Mathematical Statistics, Academic Press, Das Gupta, Soil Science Society of America Journal, Applied Mathematics, Journal of the Royal Statistical Society, Management Science, Mathematics University of South Florida Tampa, The American Statistician, Applied Statistics, Compute Ipb, Continuous Univariate Distributions, Die Problem, Journal of Quality Technology, Oxford University Press, Pseudo Pascal, Sparre Andersen, Water Resources Research, Cambridge University Press, Canadian Journal of Statistics, Compute I-function, Decision Sciences, Journal of Econometrics
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