scholarly journals Logarithmic concavity of Schur and related polynomials

2021 ◽  
Author(s):  
June Huh ◽  
Jacob Matherne ◽  
Karola Mészáros ◽  
Avery St. Dizier
Keyword(s):  
Logarithmic Concavity

Logarithmic concavity of the inverse incomplete beta function with respect to the first parameter

2021 ◽  
Vol 127 (1) ◽  
pp. 111-130
Author(s):  
Dimitris Askitis
Keyword(s):  
Distribution Function ◽  
Beta Distribution ◽  
Probability Distributions ◽  
Beta Function ◽  
Incomplete Beta Function ◽  
Univariate Function ◽  
Convexity Properties ◽  
Logarithmic Concavity ◽  
Two Parameter ◽  
Monotonicity Results

The beta distribution is a two-parameter family of probability distributions whose distribution function is the (regularised) incomplete beta function. In this paper, the inverse incomplete beta function is studied analytically as a univariate function of the first parameter. Monotonicity, limit results and convexity properties are provided. In particular, logarithmic concavity of the inverse incomplete beta function is established. In addition, we provide monotonicity results on inverses of a larger class of parametrised distributions that may be of independent interest.

scholarly journals Subsequence numbers and logarithmic concavity

1976 ◽  
Vol 16 (2) ◽  
pp. 123-140 ◽  
Author(s):  
P.J. Chase
Keyword(s):  
Logarithmic Concavity

scholarly journals Logarithmic concavity of series in gamma ratios

2014 ◽  
Vol 58 (6) ◽  
pp. 63-68 ◽  
Author(s):  
S. I. Kalmykov ◽  
D. B. Karp
Keyword(s):  
Logarithmic Concavity
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