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Applied Statistics Commons

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Full-Text Articles in Applied Statistics

Seasonal Adjustment Of Naira Exchange Rate Statistics 1970-1995, O M. Akinuli Aug 1997

Seasonal Adjustment Of Naira Exchange Rate Statistics 1970-1995, O M. Akinuli

CBN Occasional Papers

This paper uses a current statistical approach to examine and adjust the seasonalities in the Naira exchange rate statistics, vis-a-vis the U.S. Dollar and the pound sterling for a period of twenty-five (25) years. Such study is necessary as it helps to understand the behavioural pattern of a trend in an attempt to predict the future. An investigation like this also helps to expose both the short and long run tendencies of a series which may require urgent or new policy measures to be taken sooner than expected. This paper reviews the regimes of exchange rate under the period, the …


Uniformly Adaptive Estimation For Models With Arma Errors, Douglas Steigerwald Dec 1996

Uniformly Adaptive Estimation For Models With Arma Errors, Douglas Steigerwald

Douglas G. Steigerwald

A semiparametric estimator based on an unknown density is uniformly adaptive if the expected loss of the estimator converges to the asymptotic expected loss of the maximum likelihood estimator based on the true density (MLE), and if convergence does not depend on either the parameter values or the form of the unknown density. Without uniform adaptivity, the asymptotic expected loss of the MLE need not approximate the expected loss of a semiparamteric estimator for any finite sample. I show that a two-step semiparametric estimator is uniformly adaptive for the parameters of nonlinear regression models with autoregressive moving average errors.


Econometric Estimation Of Foresight: Tax Policy And Investment In The U.S., Douglas G. Steigerwald, Charles Stuart Dec 1996

Econometric Estimation Of Foresight: Tax Policy And Investment In The U.S., Douglas G. Steigerwald, Charles Stuart

Douglas G. Steigerwald

We develop a method for measuring the foresight agents have. We first dichotomize an agent's information at current date t into knowledge up to date t+f and expectations after t+f. We then form a residual-based test statistic that allows us to compare prediction errors for econometric models based on different values of f. We illustrate the method, examining investment around tax reforms to measure the foresight firms have about tax policy. In this illustration, current investment appears to reflect currently available information but little foresight other than foresight of enacted policy changes.


Asymptotic Bias For Quasi-Maximum Likelihood Estimators In Models With Conditional Heteroskedasticity, Douglas G. Steigerwald, Whitney Newey Dec 1996

Asymptotic Bias For Quasi-Maximum Likelihood Estimators In Models With Conditional Heteroskedasticity, Douglas G. Steigerwald, Whitney Newey

Douglas G. Steigerwald

Virtually all applications of time-varying conditional variance models use a quasi-maximum likelihood estimator (QMLE). Consistency of a QMLE requires an identification condition that the quasi-log-likelihood have a unique maximum at the true conditional mean and relative scale parameters. We show that the identification condition holds for a non-Gaussian QMLE if the conditional mean is identically zero or if a symmetry condition is satisfied. Without symmetry an additional parameter, for the location of the innovation density, must be added for consistency. We calculate the efficiency loss from adding such a parameter under symmetry, when the parameter is not needed. We also …