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প্রভাব নির্ণায়ক (কুকের দূরত্ব, DFFITS, লিভারেজ)×মেডিয়ান অ্যাবসোলিউট ডেভিয়েশন (MAD) অনুমান×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×কোয়ান্টাইল রিগ্রেশন×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1977197420191978
প্রবর্তকR. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage)Hampel (influence-curve treatment); classical robust statisticsWooldridge (textbook treatment); classical least squaresKoenker & Bassett
ধরনRegression diagnosticRobust scale estimatorLinear regressionConditional quantile regression
মৌলিক উৎসCook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. DOI ↗Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
অপর নামCook's distance, DFFITS, leverage, influential observation detectionmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahminiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuconditional quantile regression, regression quantiles, Kantil Regresyon
সম্পর্কিত5555
সারসংক্ষেপInfluence diagnostics are a family of post-fit measures that quantify how much each single observation affects a fitted regression. Cook's distance was introduced by R. Dennis Cook in 1977, with leverage and DFFITS formalised by Belsley, Kuh and Welsch in 1980, to flag the observations that most strongly pull the estimated coefficients.Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.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).Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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ScholarGateপদ্ধতির তুলনা করুন: Influence Diagnostics · MAD Estimation · OLS Regression · Quantile Regression. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare