## Approved by: (1980)

### BibTeX

@MISC{Foulkes80approvedby:,

author = {Mary Ann Foulkes and Mary Ann Foulkes},

title = {Approved by:},

year = {1980}

}

### OpenURL

### Abstract

fi!J::

### Citations

183 | A class of statistics with asymptotically normal distribution - Hoeffding - 1948 |

136 |
Bayesian Estimates for the Linear Model
- Lindley, Smith
- 1972
(Show Context)
Citation Context ..." Bayes and empirical Bayes procedures have often been proposed as simultaneous estimators of parameters from several linear models (Geisser, 1970, Efron and Morris, 1971-1973, James and Stein, 1961, =-=Lindley and Smith, 1972-=-). Rao (1975) has shown that with respect to quadratic loss function, empirical Bayes estimators are superior to least squares estimators. 2 When 0E' e and F are known, this prior information can impr... |

102 | The predictive sample reuse method with applications - Geisser - 1975 |

80 |
Distributions in Statistics: Continuous Multivariate Distributions
- Johnson, Kotz
(Show Context)
Citation Context ...ij > 0 for all X E [X l ,X 3 ]} = P{T.. (Xl) > 0, T.. (X 2 ·.) > 0, T.. (X 3 ) > O} = 1.J 1.J 1.J 1.J 1 1 -1 -1 -1 '2 - 41T (cos P12 .. + cos P13 + cos P 2 ..3) 1.J 1.J assuming trivariate normality (=-=Johnson and Kotz, 1972-=-). For f diagonal, P 12 .. 1.J = with similar definitions for P 13 and P 2 .. 3' 1.J Therefore y = P{max T..¢[X l ,X 3 ]}*2*P{T.. (Xl»O, T.. (x 3 »0Imax T..¢[X l 'X 3 ]} 1.J 1.J 1.J 1.J ·e + P{max T..... |

72 | Data analysis using Stein’s estimator and its generalizations - Efron, Morris - 1975 |

60 | Nonparametric methods in multivariate analysis - Puri, Sen - 1971 |

33 | Nonparametric Methods in Statistics - Fraser - 1957 |

24 | The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves - RAO - 1965 |

22 |
Consistency and unbiasedness of certain nonparametric tests
- Lehmann
- 1951
(Show Context)
Citation Context ...ral conditions, U is the uniformly minimum variance unbiased estimator of 8. U is also a consistent estimator of 8. It is unique when ~ is equal to the class of all continuous distribution functions (=-=Lehmann, 1951-=-).16 Theorem 1. 4. 2 : Hoeffding stated that in the case of independent, identically distributed random variables, the existence of is sufficient for the asymptotic normality of U. Sen (1960), in pro... |

21 |
Combining possibly related estimation problems
- Efron, Morris
- 1973
(Show Context)
Citation Context ...11 the "positive part" version of the James-Stein estimator. The concept of exchangeability discussed by Lindley and Smith (1972) was used to address the problem of combining estimation problems (see =-=Efron and Morris, 1973-=-). The dilemma involves combining non-related or possible related estimat~on problems, or applying James-Stein estimators separately to each estimation problem. The example presented considers combini... |

19 |
On some convergence properties of U-statistics
- Sen
- 1960
(Show Context)
Citation Context ... is established, for both the identically distributed and non-identically distributed cases, based on Hoeffding (1948). An estimate of the variance is obtained by the method of structural components (=-=Sen, 1960-=-). Methods of modelling the tracking phenomenon are discussed, including one which is based on empirical Bayes procedures applied to a polynomial growth curve model. Monte Carlo methods simulate censo... |

10 |
Limiting the risk of bayes and empirical bayes estimators – part i: The bayes case
- Efron, Morris
- 1971
(Show Context)
Citation Context ...lem of the growth model through Bayesian spectacles." Bayes and empirical Bayes procedures have often been proposed as simultaneous estimators of parameters from several linear models (Geisser, 1970, =-=Efron and Morris, 1971-=--1973, James and Stein, 1961, Lindley and Smith, 1972). Rao (1975) has shown that with respect to quadratic loss function, empirical Bayes estimators are superior to least squares estimators. 2 When 0... |

10 | Estimation of time response curves and their confidence bands - Elston, Grizzle - 1962 |

8 | On the relation between change and initial value - Blomqvist - 1977 |

6 | Empirical Bayes on vector observations: An extension of Stein’s method - Efron, Morris - 1972 |

4 | Linked Cross-Sectional Study for Determining Norms and Growth Rates - A Pilot Survey on Indian School-Going BoysU - Rao, Rao - 1966 |

3 | On comparing the correlations within two pair of variables, Biometrics - Davis, Quade - 1968 |

2 | A Longitudinal Study of Blood Pressure. Circula~ion - Harlan, Osborne, et al. - 1962 |

2 | Simultaneous estimation of parameters in different linear models and applications to Biometric problems - Rao |

1 | Cardiovascular Disease Risk Factor Variables During the First Year of Life - Berenson - 1979 |

1 | Tracking of Blood Lipids and - Clarke - 1978 |

1 |
The Chatham Blood Pressure Study. An Application of Bayesian Growth Curve Models .to a Longitudinal Study
- Darby, Fearn
- 1979
(Show Context)
Citation Context ... for diastolic blood pressure was 0.09. Clarke et al. advocated further longitudinal studies of children re1ating,b1ood pressure to potential cardiovascular disease. The Chatham Blood Pressure Study (=-=Darby and Fearn, 1979-=-), involving primary school children in Britain, presented evidence to support the hypothesis that blood pressures track. In the process, both population and individual trends in blood pressure were m... |

1 | Application of Empirical Bayes Methods to Measuring the Relation Between Change and - Davis - 1978 |

1 | Estimation of General Parameters Using Progressively Truncated U-Statistics. Unpublished Ph.D. Dissertation - Delong - 1979 |

1 | Young Men over a Seven Year Period - Diehl, Hesdorffer - 1933 |

1 | Relationship Between Blood Pressure and Age. Regression Analysis of Longitudinal Data - Feinleib - 1969 |

1 | Cardiovascular Disease Risk Factor Variables ~ in Children at Two Successive Years -- The Bogalusa Heart Study - Frerichs - 1979 |

1 |
Bayesian Analysis of Growth Curves. Sankhya. A
- Geisser
- 1970
(Show Context)
Citation Context ...estimation problem of the growth model through Bayesian spectacles." Bayes and empirical Bayes procedures have often been proposed as simultaneous estimators of parameters from several linear models (=-=Geisser, 1970-=-, Efron and Morris, 1971-1973, James and Stein, 1961, Lindley and Smith, 1972). Rao (1975) has shown that with respect to quadratic loss function, empirical Bayes estimators are superior to least squa... |

1 | A Predictive Approach to the Random Effect Model. Biometrika - unknown authors - 1974 |

1 | Estimation with Quadratic Loss - unknown authors - 1961 |

1 | et ale 1978. Tracking - Levine |

1 |
Interval Estimation for Empirical Bayes Generalizations of Stein's Estimator
- Morris
- 1976
(Show Context)
Citation Context ...tors is introduced which would allow the data to dictate the degree to which the groups are combined for estimation. Methods for determining interval estimates for unknown -e parameters were derived (=-=Morris, 1976-=-), using formal Bayes theory. Rao (1975) incorporated the empirical Bayes procedures of James and Stein, and of Efron and Morris, to the problem of simultaneous estimation of a vector of parameters in... |

1 | Trends in Systolic Blood Pressure in a Thousand Aviator Cohort over a 24 Year Period. Circulation - Oberman - 1967 |

1 |
The Ordac Method of Making Age
- Priore
- 1964
(Show Context)
Citation Context ...ghtly different technique involved the classification of individuals into blood pressure percentiles, then the tendency to remain in these percentiles, i.e. to retain group rankings (or ORDAC scores, =-=Priore, 1964-=-), was assessed with particular interest in the extreme percentiles. This method of analysis was reported by Oberman, Zinner, Levine and Clarke. One method, unique in this literature review to Clarke,... |

1 | Longitudinal Blood Pressure Measurements During a 26 Year Observation Period and the Risk of Ischemic Heart Disease - Rabkin - 1979 |

1 | et ale 1979. Time Course Studies of Blood Pressure in Children--The Bogalusa ~eart Study - Voors |

1 | Persistence of Levels for Risk Factor Variables During the First Year of Life: The Bogalusa Heart Study - Webber - 1980 |