NONPARAMETRIC-TESTS FOR SCALE SHIFT AT AN UNKNOWN TIME POINT

A class of linear rank tests is suggested for testing a shift in scale at an unknown time point in a sequence of independent observations. The tests,based on inverse normal scores and on ordered exponential scores,are shown to be asymptotically as efficient as their distribution-oriented competitors. Critical values and powers for these two rank tests are also discussed.

[1]  James E. Gentle,et al.  Detecting a Scale Shift in a Random Sequence at an Unknown Time Point , 1981 .

[2]  M. E. Muller,et al.  A Note on the Generation of Random Normal Deviates , 1958 .

[3]  W. R. Buckland,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1973 .

[4]  Mukhtar M. Ali,et al.  The Identical Distribution Hypothesis for Stock Market Prices—Location- and Scale-Shift Alternatives , 1982 .

[5]  D. Hsu Tests for Variance Shift at an Unknown Time Point , 1977 .

[6]  P. Sen,et al.  Theory of rank tests , 1969 .

[7]  H. Leon Harter,et al.  Order statistics and their use in testing and estimation , 1970 .

[8]  D. A. Hsu,et al.  A Bayesian Robust Detection of Shift in the Risk Structure of Stock Market Returns , 1982 .

[9]  K. S. Kölbig,et al.  Errata: Milton Abramowitz and Irene A. Stegun, editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., 1994, and all known reprints , 1972 .

[10]  G. E. Noether,et al.  ON A THEOREM OF PITMAN , 1955 .

[11]  A. Basu On a Generalized Savage Statistic with Applications to Life Testing , 1968 .

[12]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[13]  J. Hájek A course in nonparametric statistics , 1969 .

[14]  J. Klotz,et al.  Nonparametric Tests for Scale , 1962 .

[15]  D. A. Hsu,et al.  Detecting Shifts of Parameter in Gamma Sequences with Applications to Stock Price and Air Traffic Flow Analysis , 1979 .

[16]  A. Basu,et al.  A Note on Nonparametric Tests for Scale , 1967 .