TY - JOUR
AU - Hooda, Bal Krishan
AU - Singh, Netra Pal
AU - Singh, Umed
PY - 1991/01/01
Y2 - 2022/05/16
TI - Estimation of Gumbel Distribution Parameters of m-th Maxima from Doubly Censored Sample
JF - Statistica
JA - Stat
VL - 51
IS - 3
SE - Articles
DO - 10.6092/issn.1973-2201/9825
UR - https://rivista-statistica.unibo.it/article/view/9825
SP - 339-352
AB - Let X be a random variable following the first asymptotic distribution function of extreme values with location parameter u and scale parameter b, b > 0. Harter and Moore (1968) presented the MLEs of u and b from censored samples with lowest r1 and largest r2 sample values being censored in a sample of size n. In the present study these results are extended to the estimation of the parameters of type-I asymptotic distribution of m-th largest observation of several samples. The method of maximum likelihood with a sample of size n having r1 smallest and r2 largest sample values censored, is used for estimation. The asymptotic variance-covariance matrix of the MLEs is obtained by inverting the information matrix, whose elements are the negatives of the limits, as n → ∞, of the expected values of the second partial derivatives of the likelihood function.
ER -