विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| ब्लॉक बूटस्ट्रैप (मूविंग ब्लॉक और स्टेशनरी)× | बूटस्ट्रैप अनुमान× | जैக்नाइफ रीसैंपलिंग× | साधारण न्यूनतम वर्ग (OLS) समाश्रयण× | |
|---|---|---|---|---|
| क्षेत्र≠ | सांख्यिकी | सांख्यिकी | सांख्यिकी | अर्थमिति |
| परिवार | Regression model | Regression model | Regression model | Regression model |
| उद्भव वर्ष≠ | 1989 | 1979 | 1956 | 2019 |
| प्रवर्तक≠ | Künsch (moving block, 1989); Politis & Romano (stationary, 1994) | Bradley Efron | Quenouille (1956); reviewed by Miller (1974) | Wooldridge (textbook treatment); classical least squares |
| प्रकार≠ | Resampling inference for dependent data | Resampling-based inference | Resampling / bias and variance estimation | Linear regression |
| मौलिक स्रोत≠ | Künsch, H. R. (1989). The Jackknife and the Bootstrap for General Stationary Observations. Annals of Statistics, 17(3), 1217-1241. DOI ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Quenouille, M. H. (1956). Notes on Bias in Estimation. Biometrika, 43(3/4), 353-360. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| उपनाम≠ | moving block bootstrap, stationary bootstrap, blok bootstrap (moving block / stationary) | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | leave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örnekleme | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| संबंधित | 5 | 5 | 5 | 5 |
| सारांश≠ | Block bootstrap is a resampling method for dependent, autocorrelated time-series data: instead of resampling single observations, it resamples whole blocks of consecutive observations so the serial-correlation structure is preserved. The moving block variant was introduced by Künsch (1989) and the stationary variant by Politis and Romano (1994). | Bootstrap 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. | The jackknife is a classical resampling method that estimates the bias and variance of a statistic by systematically recomputing it with one observation left out at a time. Introduced by Quenouille in 1956 and later reviewed by Miller in 1974, it predates the bootstrap and remains a simple, deterministic tool for assessing estimator stability. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
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