Henry L. Gray
Honors and Officers:
Books and Chapters:
Theory and Applications of ARMA Models (in preparation and under contract to Springer-Verlag).
Directory for Statistical Microcomputer Software, with Woodward and Elliott, Marcel Dekker Publishing Company, June 1985,1987.
The Generalized Jackknife Statistic, with D. Owens and W.F. Schucany, 310 pages, Marcel Dekker Publishing Company, April 1972.
Probability for Practicing Engineers, with P.L. Odell, 211 pages, Barnes and Noble
Publishing Co., Professional Engineering
Career Development, March 1970.
Refereed Publications:
“Outlier Detection from a Mixture Distribution when Training Data are Unlabeled,” with Sain, Woodward, and Fisk, Bulletin of the Seismological Society of America, in press.
“A K-Factor GARMA Long Memory Model,” with Woodward and Cheng, Journal of Time Series Analysis, Vol.19, No.4, 1998. pp 485-504.
“A New Test for Outlier Detection from a Multivariate Mixture Distribution,” with Wang, Woodward, Wiechecki, and Sain, Journal of Computational and Graphical Statistics, Vol. 6, No.3, 1997, pp 285-299.
“Improved Tests for Trend in Time Series Data”, with Bottone and Woodward, Journal of Agricultural, Biological, and Environmental Statistics 2, 1997, pp 403-416.
“A Bootstrap Generalized Likelihood Ratio Test in Discriminant Analysis,” with Baek, Woodward, Miller, and Fisk, Computational Statistics and Data Analysis, Vol. 22, 1996, pp 137-158.
“Selecting a Model for Detecting the Presence of a Trend,” with W. Woodward, Journal of Climate, Vol. 8, No. 8, August 1995, pp 1929-1937.
"Global Warming and the Problem of Testing for Trend in Time Series Data," with W. Woodward, Journal of Climate, Vol. 6, May 1993, pp 953-062.
"Approximating Tail Probabilities of Non-Central Distributions," with S. Wang, Computational Statistics and Data Analysis, Vol. 15, No. 3, March 1993, pp. 343-352.
"The Effect of Initial Conditions on Autoregressive Models for Global Temperature Data," with W. Woodward, Eos, Transactions, American Geophysical Union, appeared as "Autoregressive Models Not Sensitive to Initial Conditions," Vol. 73, No. 25., June, 1992, pp. 267-268.
"A New Method for Approximating Improper Integrals," with S. Wang. SIAM Journal of Numerical Analysis, February l992, pp. 271-283.
"A General Method for Approximating Tail Probabilities," with S. Wang. Journal of the American Statistical Association, March l99l, pp. 159-166.
"Testing for the Maximum Mean in a Mixture of Normals," with G. McCartor, W. Woodward. Communication in Statistics, Vol A l8, l989, pp. 40ll-4028.
"An Extension of the Levin-Side Class of Nonlinear Transformations for Accelerating Convergence of Infinite Integrals and Series," with S. Wang. Applied Mathematics and Computation, 1989.
"On Generalized Fractional Processes," with N. Zhang and W. Woodward. Journal
of Time Series Analysis, Vol 10, No. 0,
pp. 1-26, 1989.
"On a Unification of Bias Reduction and Numerical Approximation," Probability
and Statistics Essays in Honor of Franklin A.
Graybill, J.N. Srivastava, editor, Elsevie Science Publishing Co.
"On a New Definition of the Fractional Difference," with N. Zhang. Mathematics of Computation, Vol. 50, No. l82, April l988.
"On a Class of Nonstationary Processes," with N. Zhang. Journal of Time Series Analysis, Vol. 9, No. 2. 1988.
"An Improved ARMA Spectral Estimator," with W.Woodward. Annals of Operations Research, 9 (1987) 385-398.
"A New ARMA Spectral Estimator," with W. Woodward. Journal of the American Statistical Association, Vol 8l, December l986, pp. ll00-ll08.
"ARMA Density Estimation," with J. Hart. Journal of Statistical Planning and Inference, No. 12, 1985, 137-152.
"G-Spectral Estimation," with M. Morton. Journal of the American Statistical Association, September 1984.
"G-Spectral Estimator," The Encyclopedia of Statistical Sciences, Vol. 3, John Wiley and Sons, pp. 549-550 (1983).
"A Comparison of Autoregressive and Harmonic Component Models for the Lynx Data," with W. Woodward. Journal of the Royal Statistical Society, A (l983), 71-73.
"Cornish-Fisher and Edgeworth Expansions" with E.D. McCune. Encyclopedia of the Statistical Sciences, Vol. 2, John Wiley and Sons, 1982.
"On the Relationship Between the S-Array and the Box-Jenkins Method for ARMA Modeling," with W. Woodward. Journal of the American Statistical Association, September 1981, 579-587.
"Application of S-Arrays to Seasonal Data" with W. Woodward. Applied Time Series Analysis II (ed. D. Findley) Academic Press: New York, 379-413 (l98l).
"On G-Spectral Estimation " with A.G. Houston and F.W. Morgan. Applied Time Series Analysis (ed. D. Findley) Academic Press: New York, 39-139 (1978).
"A New Approach to ARMA Modeling" with G. Kelley and D. McIntire. Communications in Statistics, B7, No. 1, pp. 1-96 with commentaries by J. Tukey, E. Robinson, C.W. Granger and H. Akaike (1978).
"New ARMA Models for Wolfer's Sunspot Data" with W. Woodward. Communications in Statistics, Vol. B7, No. 1, 97-115 (1978).
"On the Generalized Jackknife and Its Relation to Statistical Differentials"
with W. Schucany and T. Watkins. Biometrika,
62 (1975), 637-642.
"Minimum Variance Unbiased Estimation in the Gamma Distribution" with W. Woodward. Communication in Statistics, 4 (1975) 907-922.
"On Cornish-Fisher Expansions with Unknown Cumulants" with E. McCune. Communications in Statistics, 4 (1975), 1043-1056.
"Autoregressive, Maximum Entropy and G Spectral Estimation" with M. Foster, The Search for Oil, 168-187, Marcel Dekker, Inc., New York, 1975.
"On Edgeworth Expansions with Unknown Cumulants" with W.A. Coberly and T.O. Lewis. Annals of Mathematical Statistics, 3 (l975), pp. 741-746.
"A Space Application of an Extension of the Buffon Needle Problem" with B. Duran. Communications in Statistics, 3 (1974), 807-812.
"On the Jackknife Statistics and Its Relations to UMVU Estimators in the Normal Case", with W.R. Schucany and T.A. Watkins, Communications in Statistics, 2 (1973), 285-320.
"Effects of Digital Approximation in Linear Models" with T.O. Lewis and J.L. Poirot, Journal of Statistical Computations and Simulations, 1 (1972), 287-294.
"On the Jackknife Statistic, Its Extensions and Its Relation to E-Transformation" with T.A. Watkins and J.E. Adams. Annals of Mathematical Statistics, 43 (1972), 1-30.
"An Asymptotic Characterization of Bias Reduction by Jackknifing" with J.E. Adams and T.A Watkins. Annals of Mathematical Statistics, 42 (1971), 1606-1612.
"Approximation of Tail Probabilities by Means of the Bn-Transformation" with
T.O. Lewis. Journal of the American
Statistical Association, (1971), 897-899.
"On Bias Reduction in Estimation" with W.R. Schucany and D.B. Owen. Journal of the American Statistical Association, 66 (1971), 524-533.
"Higher Order G-Transformations" with T.A. Atchison and G.V. McWilliams. SIAM Journal of Numerical Analysis, 8 (1971), 356-381.
"A Note on T-Transformation on Lubkin" with W.D. Clark and J.E. Adams. Journal of Research of the Bureau of Standards, 73B (1969), 85-89.
"On a Class of Non-Linear Transformations and Their Applications to the Evaluations of Infinite Series" with W.D. Clark. Journal of Research of the Bureau of Standards, 73B (1969), 251-274.
"A New Approximation for the Chi-square Integral" with R.W. Thompson and G.V. McWilliams. Mathematics of Computation, 23 (1969), 85-89.
"Lower Confidence Limits for Availability Assuming Log-Normally Distributed Repair Time" with W.R. Schucany. IEEE Transactions on Reliability, R-18 (1969), 157-162.
"Some Limiting Cases of the G-Transformation" with W.R. Schucany. Mathematics of Computation, 23 (1969), 849-860.
"Application of the G and B Transforms to the Laplace Transforms" with T.A. Atchison. Journal of the ACM, Proceedings of the ACM Fall Joint Conference, P-68 (1968), 73-77.
"A Note on the G-Transformation" with T.A. Atchison. Journal of Research of the Bureau of Standards, 72B (1968), 29-31.
"The Generalized G-Transform" with T.A. Atchison. Mathematics of Computation, 22, (1968), 595-605.
"On the Evaluation of Distribution Functions" with W.R. Schucany. Journal
of the American Statistical Association, 63 (1968),
715-720.
"On a Test for Equality of the Means of Two Independent Poisson
Distributions" with T.O. Lewis. IEEE Transactions on
Reliability, Vol. R-17 (1968), 163-170.
"A New Approximation Related to the Error Function" with W.R. Schucany. Mathematics of Computation, 22 (1968), 201-202.
"Nonlinear Transformation Related to the Evaluation of Improper Integrals-II" with T.A. Atchison. SIAM Journal on Numerical Analysis, 5 (1968), 451-459.
"Nonlinear Transformations Related to the Evaluation of Improper Integrals-I" with T.A. Atchison. SIAM Journal on Numerical Analysis 4, (1967), 363-371.
"A Confidence Interval for the Availability Ratio" with T.O. Lewis. Technometrics, 9 (1967), 465-471.
"On Sums and Products of Rectangular Variates" with P.L. Odell. Biometrika, 53 (1966), 616-617.
"Application of the Holmgren-Riesz Transform." Annali Della Scoula
Normaley Superiore Di Pisa Scienze Fische e Mathematiche, Serie III, 18 (1964).