@article{Hooda_Singh_Singh_1991, title={Estimation of Gumbel Distribution Parameters of m-th Maxima from Doubly Censored Sample}, volume={51}, url={https://rivista-statistica.unibo.it/article/view/9825}, DOI={10.6092/issn.1973-2201/9825}, abstractNote={Let X be a random variable following the first asymptotic distribution function of extreme values with location parameter u and scale parameter b, b &gt; 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.}, number={3}, journal={Statistica}, author={Hooda, Bal Krishan and Singh, Netra Pal and Singh, Umed}, year={1991}, month={Jan.}, pages={339–352} }