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The American Statistician Volume 35, 1981 - Issue 3
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The Teacher's Corner

The Moment-Generating Function and Negative Integer Moments

Noel Cressie School of Mathematical Sciences, The Flinders University of South Australia, Bedford Park, SA, 5042, USA
,
Anne S. Davis Department of Mathematics, Statistics, and Computer Science Marquette University, Milwaukee, WI, 53233, USA
,
J. Leroy Folks Department of Statistics, Oklahoma State University, Stillwater, OK, 74074, USA
&
J. Leroy Folks Department of Statistics, The Ohio State University, Columbus, OH, 43210, USA
Pages 148-150 | Received 01 Apr 1980, Published online: 12 Mar 2012

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Guodong Pang, Demissie Alemayehu, Victor de la Peña & Michael J. Klass. (2022) On the bias and variance of odds ratio, relative risk and false discovery proportion. Communications in Statistics - Theory and Methods 51:19, pages 6883-6908.
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E. Gómez-Déniz & E. Calderín-Ojeda. (2016) The Poisson-conjugate Lindley mixture distribution. Communications in Statistics - Theory and Methods 45:10, pages 2857-2872.
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N. Balakrishnan, Víctor Leiva, Antonio Sanhueza & Enrique Cabrera. (2009) Mixture inverse Gaussian distributions and its transformations, moments and applications. Statistics 43:1, pages 91-104.
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D. Stephen Coad & Anastasia Ivanova. (2001) BIAS CALCULATIONS FOR ADAPTIVE URN DESIGNS. Sequential Analysis 20:3, pages 91-116.
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Jaimie L. Hebert. (1994) Generating moments of exponential scale mixtures. Communications in Statistics - Theory and Methods 23:4, pages 1181-1189.
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Jaimie L. Hebert. (1994) Moments of inverted scale mixtures. Communications in Statistics - Theory and Methods 23:4, pages 1173-1180.
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EdwardB. Rockower. (1988) Integral Identities for Random Variables. The American Statistician 42:1, pages 68-72.
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M. David. (1987) Sequential shrinkage estimation of linear regression parameters. Sequential Analysis 6:2, pages 93-117.
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Malay Ghosh & David M. Nickerson. (1986) Sequential shrinkage estimation of independent normal means with unkown variances. Communications in Statistics - Theory and Methods 15:7, pages 2115-2130.
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P. onsul & M.M. Shoukri. (1986) The negative integer moments of the generalized poisson distribution. Communications in Statistics - Simulation and Computation 15:4, pages 1053-1064.
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M.C. Jones. (1986) C245. Inverse moments of negative- binomial distributions. Journal of Statistical Computation and Simulation 23:3, pages 241-243.
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WalterW. Piegorsch & George Casella. (1985) The Existence of the First Negative Moment. The American Statistician 39:1, pages 60-62.
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