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The logit-stable distributions and latent utility scales in categorical data applications

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  • Brown, B.M.

Abstract

The logit-stable distributions are distributions on the unit interval. They have unconventional shapes, are alternatives to beta distributions for random proportions, arise from an axiomatic derivation based upon latent utility scales, have closed-form probabilities, and greater tail-weight than beta distributions. Logit-stable-binomial distributions are counterparts of beta-binomials; they and logit-stable distributions have properties connected to positive stable laws. As alternatives to beta distributions, they have many potential applications in Applied Probability and related modelling.

Suggested Citation

  • Brown, B.M., 2009. "The logit-stable distributions and latent utility scales in categorical data applications," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2182-2188, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2182-2188
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    References listed on IDEAS

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    1. Louviere,Jordan J. & Hensher,David A. & Swait,Joffre D. With contributions by-Name:Adamowicz,Wiktor, 2000. "Stated Choice Methods," Cambridge Books, Cambridge University Press, number 9780521788304, November.
    2. Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470.
    3. Gilles Laurent & Cam Rungie & Bruce Brown & Suma Rudrapatna, 2005. "A Standard Error Estimator for the Polarization Index: Assessing the Measurement Error in One Approach to the Analysis of Loyalty," Post-Print hal-00818686, HAL.
    4. Zhen Pang & Anthony Y. C. Kuk, 2005. "A Shared Response Model for Clustered Binary Data in Developmental Toxicity Studies," Biometrics, The International Biometric Society, vol. 61(4), pages 1076-1084, December.
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