Abstract
Whitmore (1986a) considered an inverse Gaussian ratio estimation model and applied it to a marketing survey study. In reality the ratio estimation problem involves a regression setting where for α > 0 and β > 0, \(L({Y_i}) = IG(\alpha {x_i},\beta x_i^2),i = 1,...,n.\) Thus the variance of Y i . is proportional to x i . When α = β = 1 the densities of Y display increasing skewness with small values of x i . For large values of x i the law of Y approaches a lognormal form.
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© 1999 Springer Science+Business Media New York
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Seshadri, V. (1999). Market Research. In: The Inverse Gaussian Distribution. Lecture Notes in Statistics, vol 137. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1456-4_21
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DOI: https://doi.org/10.1007/978-1-4612-1456-4_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98618-0
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