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Communications in Statistics - Theory and Methods Volume 32, 2003 - Issue 4
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Original Articles

Relationships Between Central Moments and Cumulants, with Formulae for the Central Moments of Gamma Distributions

R. Willink Applied Mathematics, Industrial Research Limited, Lower Hutt, New ZealandCorrespondence[email protected]
Pages 701-704 | Published online: 02 Sep 2006

Citations (17)

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Laurent Bordes, Christian Paroissin & Ali Salami. (2016) Parametric inference in a perturbed gamma degradation process. Communications in Statistics - Theory and Methods 45:9, pages 2730-2747.
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Jiandong Ren & Fredrik Nilsson. (2010) An Approximation to the Distribution and the Moments of the Number of Events in Markovian Arrival Processes. Stochastic Models 26:4, pages 487-504.
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Christopher S. Withers & Saralees Nadarajah. (2009) Moments from cumulants and vice versa. International Journal of Mathematical Education in Science and Technology 40:6, pages 842-845.
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. (2008) Corrections. The American Statistician 62:2, pages 188-188.
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Georgios Skoulakis. (2008) A Recursive Formula for Computing Central Moments of a Multivariate Lognormal Distribution. The American Statistician 62:2, pages 147-150.
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Articles from other publishers (12)

Martin Schumann, Thomas A. Severini & Gautam Tripathi. (2023) The role of score and information bias in panel data likelihoods. Journal of Econometrics 235:2, pages 1215-1238.
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Bert Mortier, Martine Baelmans & Giovanni Samaey. (2022) A Kinetic-Diffusion Asymptotic-Preserving Monte Carlo Algorithm for the Boltzmann-BGK Model in the Diffusive Scaling. SIAM Journal on Scientific Computing 44:2, pages A720-A744.
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Giang T. Nguyen & Oscar Peralta. (2022) Rate of strong convergence to Markov-modulated Brownian motion. Journal of Applied Probability 59:1, pages 1-16.
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Daniele Agostini & Carlos Améndola. (2019) Discrete Gaussian Distributions via Theta Functions. SIAM Journal on Applied Algebra and Geometry 3:1, pages 1-30.
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Christian Paroissin. (2017) Online Estimation Methods for the Gamma Degradation Process. IEEE Transactions on Reliability 66:4, pages 1361-1367.
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Nelson Antunes, Vladas Pipiras, Patrice Abry & Darryl Veitch. (2017) Small and large scale behavior of moments of Poisson cluster processes. ESAIM: Probability and Statistics 21, pages 369-393.
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D. Colognesi, U. Bafile, M. Celli & M. Neumann. (2015) On the non-Gaussian corrections in the self dynamics of semi-quantum fluids. Chemical Physics 446, pages 57-64.
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Josef A. Zuk. (2013) Cornish-Fisher technique for estimating detection probabilities for compound clutter distributions. Cornish-Fisher technique for estimating detection probabilities for compound clutter distributions.
Gérard Biau, Frédéric Chazal, David Cohen-Steiner, Luc Devroye & Carlos Rodríguez. (2011) A weighted k-nearest neighbor density estimate for geometric inference. Electronic Journal of Statistics 5:none.
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Sherzod M. Mirakhmedov. (2010) On Greenwood goodness-of-fit test. Journal of Statistical Planning and Inference 140:11, pages 3017-3025.
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Yaming Yu. (2009) On an asymptotic series of Ramanujan. The Ramanujan Journal 20:2, pages 179-188.
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R Willink. (2005) A procedure for the evaluation of measurement uncertainty based on moments. Metrologia 42:5, pages 329-343.
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