Best constants in Chebyshev inequalities with various applications

Metrika

Volumn 51, Issue 3, 2000, Pages 185-200

  DasGupta, Anirban ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Camp meidell inequality; CDF; Chebyshev inequality; Confidence interval; Density; Mean absolute deviation; Permutations; Poisson; Primes; Spherically symmetric; Zeta function

Indexed keywords

EID: 0034355060     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s184-000-8316-9     Document Type: Article

References (6)

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2. DasGupta A (1998) On a differential equation and one step recursion for Poisson moments, Technical Report 98-02, Department of Statistics, Purdue University
3. Dharmadhikari S, Joag-Dev K (1988) Unimodality, Convexity, and Applications, Academic Press, New York
4. Diaconis P (1987) Method of moments in probability and statistics, AMS Short Course Lecture Notes, Volume 37, AMS, Providence, Rhode Island
5. Diaconis P, Zabell S (1991) Closed form summation for classical distributions, Statistical Science, 6:284-302
6. Sellke TM, Sellke SH (1997) Chebyshev inequalities for unimodal distributions, Amer. Statistician, 51(1):34-39