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Hacettep eJournalofMathematicsandStatisticsVolume 45(5)(2016),1605 1620 Comparingofsomeestimationmetho dsforparametersoftheMarshall-Olkingenera lizedexp onentialdistributionunderprogressiveTyp e-IintervalcensoringHamzehTorabi ,MasumehForo oghi andHosseinNadeb AbstractInthispap er,weestimatetheparametersoftheMarshall- Olkingener-alizedexp onentialdistributionunderprogressiveTyp e-Iintervalcen-soringbasedonmaximumlikel iho o d,momentmetho ,theseestimatemeth-o :EMalgorithm,Generalizedexp onentialdistribution,Maximumlikeliho o destimate,Metho dofmoments,Typ cation:65C05,62N01, ductionAggarwala[2001]intro ducedTyp e-Iintervalandprogressivecensoringanddev elop edthestatisticalinferencefortheexp onentialdistributionbasedonprogressively Typ [2009]intro ducedtheconceptofprogressiveTyp e-IintervalcensoringtotheWeibulldistribu tionandcomparedmanydi erentestimationmetho dsfortwoparametersintheWeibulldistributi onviasimulation.
1610 3.1. Maximum likelihood estimation. Suppose a progressive Type-I interval cen-sored sample is collected for the MOGE distribution. Using (1.2), the likelihood function
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