Testing for a unit root in an ar(1) model using three and four moment approximations: symmetric distributions

Three-moment chi-square and four moment F approximations are given which can be used for testing a unit root in an AR(1) model when the innovations have one of a very wide family of symmetric distributions (Student's t).

[1]  M. L. Tiku,et al.  A FOUR‐MOMENT APPROXIMATION BASED ON THE F DISTRIBUTION , 1978 .

[2]  G. K. Bhattacharyya,et al.  The Asymptotics of Maximum Likelihood and Related Estimators Based on Type II Censored Data , 1985 .

[3]  D. Vaughan,et al.  Expected values, variances and covariances of order statistics for student's t-distribution with two degrees of freedom , 1992 .

[4]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[5]  Moti L. Tiku,et al.  A new method of estimation for location and scale parameters , 1992 .

[6]  David C Vauchan The exact values of the expected values, variances and covariances of the order statistics from the cauchy distribution , 1994 .

[7]  K. Abadir The Limiting Distribution of the t Ratio Under a Unit Root , 1995, Econometric Theory.

[8]  M. Tiku ESTIMATING THE PARAMETERS OF NORMAL AND LOGISTIC DISTRIBUTIONS FROM CENSORED SAMPLES1 , 1968 .

[9]  L. R. Shenton,et al.  Exact Moments for Autor1egressive and Random walk Models for a Zero or Stationary Initial Value , 1996, Econometric Theory.

[10]  C. Kapadia,et al.  On estimating the scale parameter of the Rayleigh distribution from doubly censored samples , 1980 .

[11]  M. Tiku Chi-square approximations for the distributions of goodness-of-fit statistics UN2 and WN2 , 1965 .

[12]  Moti Lal Tiku,et al.  Robust Inference , 1986 .

[13]  P. Phillips Testing for a Unit Root in Time Series Regression , 1988 .

[14]  E. S. Pearson,et al.  Some notes on the relationship between the distributions of central and non-central F , 1970 .

[15]  M. L. TIKU Distribution of the Derivative of the Likelihood Function , 1966, Nature.

[16]  D. Vaughan,et al.  On the tiku-suresh method of estimation , 1992 .

[17]  James D. Hamilton Time Series Analysis , 1994 .

[18]  M. Tiku,et al.  Estimating the mean and standard deviation from a censored normal sample. , 1967, Biometrika.

[19]  E. S. Pearson Note on an Approximation to the Distribution of Non-Central χ 2 , 1959 .

[20]  W. Tan On Tiku's robust procedure — a Bayesian insight☆ , 1985 .