A Simple Method for the Adjustment of Profile Likelihoods

We propose a simple adjustment for profile likelihoods. The aim of the adjustment is to alleviate some of the problems inherent in the use of profile likelihoods, such as bias, inconsistency and overoptimistic variance estimates. The adjustment is applied to the profile log-likelihood score function...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Journal of the Royal Statistical Society. Series B (Methodological). - Royal Statistical Society, 1948. - 52(1990), 2, Seite 325-344
1. Verfasser: McCullagh, Peter (VerfasserIn)
Weitere Verfasser: Tibshirani, Robert
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1990
Zugriff auf das übergeordnete Werk:Journal of the Royal Statistical Society. Series B (Methodological)
Schlagworte:Asymptotic Theory Bootstrap Nuisance Parameters Profile Likelihood Score Function Mathematics Behavioral sciences
LEADER 01000caa a22002652 4500
001 JST052568660
003 DE-627
005 20240621205427.0
007 cr uuu---uuuuu
008 150324s1990 xx |||||o 00| ||eng c
035 |a (DE-627)JST052568660 
035 |a (JST)2345439 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a McCullagh, Peter  |e verfasserin  |4 aut 
245 1 2 |a A Simple Method for the Adjustment of Profile Likelihoods 
264 1 |c 1990 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
520 |a We propose a simple adjustment for profile likelihoods. The aim of the adjustment is to alleviate some of the problems inherent in the use of profile likelihoods, such as bias, inconsistency and overoptimistic variance estimates. The adjustment is applied to the profile log-likelihood score function at each parameter value so that its mean is zero and its variance is the negative expected derivative matrix of the adjusted score function. For cases in which explicit calculation of the adjustments is difficult, we give two methods to simplify their computation: an `automatic' simulation method that requires as input only the profile log-likelihood and its first few derivatives; first-order asymptotic expressions. Some examples are provided and a comparison is made with the conditional profile log-likelihood of Cox and Reid. 
540 |a Copyright 1990 Royal Statistical Society 
650 4 |a Asymptotic Theory 
650 4 |a Bootstrap 
650 4 |a Nuisance Parameters 
650 4 |a Profile Likelihood 
650 4 |a Score Function 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Measures of variability  |x Statistical variance 
650 4 |a Mathematics  |x Applied mathematics  |x Analytics  |x Analytical estimating  |x Maximum likelihood estimation 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics 
650 4 |a Mathematics  |x Mathematical values  |x Mathematical variables  |x Mathematical independent variables 
650 4 |a Mathematics  |x Mathematical procedures  |x Approximation 
650 4 |a Behavioral sciences  |x Psychology  |x Cognitive psychology  |x Cognitive processes  |x Thought processes  |x Reasoning  |x Inference 
650 4 |a Mathematics  |x Pure mathematics  |x Linear algebra  |x Orthogonality 
650 4 |a Mathematics  |x Mathematical expressions 
650 4 |a Mathematics  |x Mathematical values  |x Ratios 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Measures of variability  |x Multivariate statistical analysis  |x Covariance 
655 4 |a research-article 
700 1 |a Tibshirani, Robert  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Journal of the Royal Statistical Society. Series B (Methodological)  |d Royal Statistical Society, 1948  |g 52(1990), 2, Seite 325-344  |w (DE-627)30219746X  |w (DE-600)1490719-7  |x 00359246  |7 nnns 
773 1 8 |g volume:52  |g year:1990  |g number:2  |g pages:325-344 
856 4 0 |u https://www.jstor.org/stable/2345439  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_JST 
912 |a GBV_ILN_120 
912 |a GBV_ILN_374 
912 |a GBV_ILN_380 
951 |a AR 
952 |d 52  |j 1990  |e 2  |h 325-344