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Infrequent fail of the popular parameter estimators, having several beta-distributed random variables to be estimated

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#probability-distributions #parameter-estimation #beta-function #digamma-function
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Approximating the Digamma function

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#numerical-methods #gamma-function #digamma-function
225
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Digamma function ratio limit

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#gamma-function #digamma-function
378
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Prove that $ \int_0^1 x^2 \psi(x) \, dx = \ln\left(\frac{A^2}{\sqrt{2\pi}} \right) $

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#integration #digamma-function
158
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Minimizing $f(x)=A^{\frac{tx-1}{x-1}} \left( c^x \frac{\Gamma(0.5+x)}{\sqrt{\pi}} \right)^{\frac{1-t}{x-1}}$ subject to the constraint

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#derivatives #optimization #gamma-function #polygamma #digamma-function
464
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Closed form to an interesting series: $\sum_{n=1}^\infty \frac{1}{1+n^3}$

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#calculus #integration #sequences-and-series #closed-form #digamma-function
196
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What do we know about $\sum_\limits{n=0}^{\infty} \frac{(-1)^n}{kn+1}$?

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#sequences-and-series #reference-request #digamma-function
415
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Digamma function in expectation

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#probability-distributions #moment-generating-functions #digamma-function
85
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Expectation about Generalized exponential distribution

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#probability #expected-value #digamma-function
235
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How to evaluate these two integrals about hyperbolic functions?

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#integration #sequences-and-series #definite-integrals #hyperbolic-functions #digamma-function
151
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Newton Series for the Digamma Function

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#reference-request #digamma-function
573
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Evaluation of sum of digamma function.

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#calculus #integration #summation #gamma-function #digamma-function
233
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Is there closed form of integral of gamma function with specific range

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#digamma-function
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Limit of gamma and digamma function

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#calculus #limits #special-functions #gamma-function #digamma-function
327
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Series with digammas

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#sequences-and-series #conditional-convergence #digamma-function

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