References
- Hunter , D. 1976 . “An Upper Bound for the Probability of a Union” . Journal of Applied Probability , 13 : 597 – 603 .
- Schwager , S. J. 1984 . “Bonferroni Sometimes Loses” . The American Statistician , 38 : 192 – 197 .
- Tomescu , I. 1984 . “Hypertrees and Bonferroni Inequalities” unpublished manuscript (submitted to Journal of Combinatorial Theory, Ser. B)
- Worsley , K. J. 1982 . “An Improved Bonferroni Inequality and Applications” . Biometrika , 69 : 297 – 302 .
References
- David , H. A. 1970 . Order Statistics , New York : John Wiley . (2nd ed. 1981)
- Looney , S. W. and Gulledge , T. R. Jr. 1985 . “Use of the Correlation Coefficient With Normal Probability Plots” . The American Statistician , 39 : 75 – 79 .
- Ryan , T. A. Jr. and Joiner , B. L. 1974 . “Normal Probability Plots and Tests for Normality” , Pennsylvania State University, Statistics Dept . unpublished technical report
- Ryan , T. A. Jr. and Ryan , B. F. 1978 . Minitab II Reference Manual , University Park , Pennsylvania : Minitab Project .
References
- Krewski , D. and Bickis , M. 1984 . “A Note on Independent and Exhaustive Events” . The American Statistician , 38 : 290 – 291 .
- Rudin , W. 1964 . Principles of Mathematical Analysis , New York : McGraw-Hill .
References
- Knopp , K. 1956 . Infinite Sequences and Series , New York : Dover Publications .
References
- Arcese , A. 1983 . “On the Method of Maximum Entropy Spectrum Estimation” . IEEE Transactions on Information Theory , IT-29 : 161 – 164 .
- McLeod , Ian A. and Jiménez , C. 1984 . “Nonnegative Definiteness of the Sample Autocovariance Function” . The American Statistician , 38 : 297 – 298 .
References
- McLeod , Ian A. and Jiménez , Carlos . 1984 . “Nonnegative Definiteness of the Sample Autocovariance Function” . The American Statistician , 38 : 297 – 298 .
- Newton , Joseph H. and Pagano , Marcello . “Computing for Autoregressions” . Computer Science and Statistics: Proceedings of the 15th Symposium on the Interface . Edited by: Gentle , J. pp. 113 – 118 . New York : North-Holland .
References
- Box , G. E. P. and Jenkins , G. M. 1976 . Time Series Analysis: Forecasting and Control, , 2nd ed. , San Francisco : Holden-Day .
- Hipel , K. W. , McBean , E. A. and McLeod , A. I. 1978 . “Hydrologic Generating Model Selection” . Journal of the American Society of Civil Engineering, Division of Water Resources Planning and Management , 105 : 223 – 242 .
- Hipel , K. W. and McLeod , A. I. Time Series Modelling for Water Resources and Environmental Engineers , New York : Elsevier . (in press)
- Hipel , K. W. , McLeod , A. I. and Lennox , W. C. 1977 . “Advances in Box–Jenkins Modeling” . Water Resources Research , 13 : 567 – 586 .
- McLeod , A. I. 1975 . “Derivation of the Theoretical Autocorrelation Function of Autoregressive Moving-Average Time Series” . Applied Statistics , 24 : 255 – 256 .
- McLeod , A. I. and Hipel , K. W. 1978a . “Preservation of the Rescaled Adjusted Range” . Water Resources Research , 14 : 491 – 518 .
- McLeod , A. I. and Hipel , K. W. 1978b . “Simulation Procedures for Box–Jenkins Models” . Water Resources Research , 14 : 969 – 975 .
- McLeod , A. I. and Hipel , K. W. Users Guide to the McLeod–Hipel Time Series Package , New York : Elsevier . (in press)
- McLeod , A. I. and Jiménez , C. 1984 . “Nonnegative Definiteness of the Sample Autocovariance Function” . The American Statistician , 38 : 297 – 298 .
- Noakes , D. J. , McLeod , A. I. and Hipel , K. W. “Forecasting Monthly Riverflow Time Series” . Journal of Forecasting , (in press)
References
- Cleveland , William S. 1984 . “Graphs in Scientific Publications” . The American Statistician , 38 : 261 – 269 .
- Wynder , E. L. and Stellman , S. D. 1980 . “Artificial Sweetener Use and Bladder Cancer: A Case-Control Study” . Science , 207 : 1214 – 1216 .
References
- Cleveland , William S. 1985 . The Elements of Graphing Data , Monterey , CA : Wadsworth Advanced Books .
References
- Jackson , P. H. 1984 . “Justifying an Invalid Derivation of the Probability of a Union of Events” . The American Statistician , 38 : 291 – 293 .
References
- Blomqvist , N. 1950 . “On a Measure of Dependence Between Two Random Variables” . Annals of Mathematical Statistics , 21 : 593 – 600 .
- Châttillon , G. 1984 . “The Balloon Rule for a Rough Estimate of the Correlation Coefficient” . The American Statistician , 38 : 58 – 60 .
- Kendall , M. G. 1938 . “A New Measure of Rank Correlation” . Biometrika , 30 : 81 – 98 .
- Schilling , M. F. 1984 . “Some Remarks on Quick Estimation of the Correlation Coefficient” . The American Statistician , 38 : 330
References
- Piegorsch , Walter W. and Casella , George . 1985 . “The Existence of the First Negative Moment” . The American Statistician , 39 : 60 – 62 .
References
- Berger , J. O. 1980 . Statistical Decision Theory , New York : Springer-Verlag .
- Hastings , N. A. J. and Peacock , J. B. 1975 . Statistical Distributions , New York : John Wiley .
- Johnson , N. L. and Kotz , S. 1970 . Continuous Univariate Distributions , Vol. 1 , New York : John Wiley .
References
- Graybill , F. A. 1976 . Theory and Application of the Linear Model , North Scituate , MA : Duxbury Press .
- McElroy , F. 1967 . “A Necessary and Sufficient Condition That Ordinary Least Squares Estimators Be Best Linear Unbiased” . Journal of the American Statistical Association , 62 : 1302 – 1304 .
- Milliken , G. A. and Albohali , M. 1984 . “On Necessary and Sufficient Conditions for Ordinary Least Squares Estimators to Be Best Linear Unbiased Estimators” . The American Statistician , 38 : 298 – 299 .
- Rao , C. R. “Least Squares Theory Using an Estimated Dispersion Matrix and Its Applications to the Measurement of Signals” . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . Vol. 1 , pp. 355 – 372 .
References
- Graybill , F. A. 1976 . Theory and Application of the Linear Model , North Scituate , MA : Duxbury Press .
- Milliken , G. A. and Albohali , M. 1984 . “On Necessary and Sufficient Conditions for Ordinary Least Squares Estimators To Be Best Linear Unbiased Estimators” . The American Statistician , 38 : 298 – 299 .
- Zyskind , G. 1967 . “On Canonical Forms, Non-negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models” . Annals of Mathematical Statistics , 38 : 1092 – 1109 .
References
- Johnson , N. L. and Kotz , S. 1970 . Continuous Univariate Distributions–2 , Boston : Houghton Mifflin .
- Nicholson , W. L. 1958 . “On the Distribution of 2×2 Random Normal Determinants” . Annals of Mathematical Statistics , 29 : 575 – 580 .
- Nyquist , H. , Price , S. O. and Riordan , J. 1954 . “The Distribution of Random Determinants” . Quarterly of Applied Mathematics , 25 : 317 – 328 .
References
- Ansley , Craig F. 1985 . “Quick Proofs of Some Regression Theorems via the QR Algorithm” . The American Statistician , 39 : 35 – 59 .
- Householder , A. S. 1958 . “Unitary Triangularization of a Nonsymmetric Matrix” . Journal of the Association for Computing Machinery , 5 : 339 – 342 .
References
- Feller , W. and Forsythe , G. E. 1951 . “New Matrix Transformations for Obtaining Characteristic Vectors” . Quarterly of Applied Mathematics , 8 : 325 – 331 .
- Householder , A. S. 1958 . “The Approximate Solution of Matrix Problems” . Journal of the Association for Computing Machinery , 5 : 204 – 243 .
- Stewart , G. W. 1973 . Introduction to Matrix Computations , New York : Academic Press .