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Product Moments of Downton’s Bivariate Exponential Distribution

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Abstract

Downton’s bivariate exponential distribution has been a popular model for hydrological sciences. However, it seems that no explicit expressions for its product moments are available. In this short note, we provide a direct derivation of a general expression for the product moments and also derive several particular forms. An application of the results is illustrated using drought data from the State of Nebraska.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USA

    Arjun K. Gupta

  2. School of Mathematics, University of Manchester, Manchester, M60 1QD, UK

    Saralees Nadarajah

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  1. Arjun K. Gupta
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  2. Saralees Nadarajah
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Correspondence to Saralees Nadarajah.

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Gupta, A.K., Nadarajah, S. Product Moments of Downton’s Bivariate Exponential Distribution. Water Resour Manage 22, 671–679 (2008). https://doi.org/10.1007/s11269-007-9185-9

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  • DOI: https://doi.org/10.1007/s11269-007-9185-9

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