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बूटस्ट्रैप अनुमान×सामान्यीकृत न्यूनतम वर्ग (GLS)×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारRegression modelRegression model
उद्भव वर्ष19791935
प्रवर्तकBradley EfronAlexander Craig Aitken
प्रकारResampling-based inferenceLinear estimator
मौलिक स्रोतEfron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗
उपनामbootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap ÇıkarımıGLS, Aitken estimator, EGLS, feasible GLS
संबंधित53
सारांशBootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples.Generalized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.
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