摘要: Abstract A possible alternative to the hypothesis that sequence X 1, 2, …, Xn are iid N(ξ, σ2) random variables is at some unknown instant expectation ξ shifts. The likelihood ratio test for of a location shift studied and its distribution under null found. Tables standard fractiles given, along with asymptotic results.
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sci-hub.se 参考文章(14)
Simeon M. Berman, Limit Theorems for the Maximum Term in Stationary Sequences Annals of Mathematical Statistics. ,vol. 35, pp. 502- 516 ,(1964) , 10.1214/AOMS/1177703551
E. S. PAGE, On problems in which a change in a parameter occurs at an unknown point Biometrika. ,vol. 44, pp. 248- 252 ,(1957) , 10.1093/BIOMET/44.1-2.248
L. A. Gardner, On Detecting Changes in the Mean of Normal Variates Annals of Mathematical Statistics. ,vol. 40, pp. 116- 126 ,(1969) , 10.1214/AOMS/1177697808
Ashish Sen, Muni S. Srivastava, On Tests for Detecting Change in Mean Annals of Statistics. ,vol. 3, pp. 98- 108 ,(1975) , 10.1214/AOS/1176343001
Monroe D. Donsker, Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems Annals of Mathematical Statistics. ,vol. 23, pp. 277- 281 ,(1952) , 10.1214/AOMS/1177729445
James Pickands III, Sample Sequences of Maxima Annals of Mathematical Statistics. ,vol. 38, pp. 1570- 1574 ,(1967) , 10.1214/AOMS/1177698711
J. L. Doob, Heuristic Approach to the Kolmogorov-Smirnov Theorems Annals of Mathematical Statistics. ,vol. 20, pp. 393- 403 ,(1949) , 10.1214/AOMS/1177729991
Richard E. Quandt, Tests of the Hypothesis That a Linear Regression System Obeys Two Separate Regimes Journal of the American Statistical Association. ,vol. 55, pp. 324- 330 ,(1960) , 10.1080/01621459.1960.10482067
Ashish Sen, Muni S. Srivastava, Some One-Sided Tests for Change in Level Technometrics. ,vol. 17, pp. 61- 64 ,(1975) , 10.1080/00401706.1975.10489272
David V. Hinkley, Inference about the change-point in a sequence of binomial variables Biometrika. ,vol. 57, pp. 1- 17 ,(1970) , 10.1093/BIOMET/57.1.1