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Confidence intervals for limited moments and truncated moments in normal and lognormal models

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  • Bebu, Ionut
  • Mathew, Thomas

Abstract

For Y distributed as normal or lognormal, the interval estimation of the mean and variance of the corresponding limited or truncated random variable is addressed using the concept of a generalized confidence interval, based on a sample from the distribution of Y. Numerical results and practical examples are used to illustrate the results.

Suggested Citation

  • Bebu, Ionut & Mathew, Thomas, 2009. "Confidence intervals for limited moments and truncated moments in normal and lognormal models," Statistics & Probability Letters, Elsevier, vol. 79(3), pages 375-380, February.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:3:p:375-380
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    Cited by:

    1. Vilmunen, Jouko & Palmroos, Peter, 2013. "Closed form solution of correlation in doubly truncated or censored sample of bivariate log-normal distribution," Research Discussion Papers 17/2013, Bank of Finland.
    2. Li, Baibing, 2022. "Stochastic modeling and adaptive forecasting for parking space availability with drivers’ time-varying arrival/departure behavior," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 313-332.
    3. Sebastian Schlütter, 2019. "Optimal taxation in non-life insurance markets," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 44(1), pages 1-26, March.
    4. Federica Bomboi & Christoph Buchheim & Jonas Pruente, 2022. "On the stochastic vehicle routing problem with time windows, correlated travel times, and time dependency," 4OR, Springer, vol. 20(2), pages 217-239, June.
    5. Barfield, Ashley & Shonkwiler, J. Scott, 2016. "A Distribution Transition Method for Extreme Responses in Recreation Survey Data," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235670, Agricultural and Applied Economics Association.
    6. Naijun Sha, 2019. "A New Inference Approach for Type-II Generalized Birnbaum-Saunders Distribution," Stats, MDPI, vol. 2(1), pages 1-16, February.
    7. repec:zbw:bofrdp:2013_017 is not listed on IDEAS
    8. Sumith Gunasekera, 2015. "Generalized inferences of $$R$$ R = $$\Pr (X>Y)$$ Pr ( X > Y ) for Pareto distribution," Statistical Papers, Springer, vol. 56(2), pages 333-351, May.
    9. Halkos, George & Kevork, Ilias, 2011. "Non-negative demand in newsvendor models:The case of singly truncated normal samples," MPRA Paper 31842, University Library of Munich, Germany.
    10. Sebastian Schlütter, 2019. "Optimal taxation in non-life insurance markets," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 44(1), pages 1-26, March.
    11. Vilmunen, Jouko & Palmroos, Peter, 2013. "Closed form solution of correlation in doubly truncated or censored sample of bivariate log-normal distribution," Bank of Finland Research Discussion Papers 17/2013, Bank of Finland.

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