### Perspectives From the Pioneers of the Late 20th Century

### Perspectives From the Pioneers of the Late 20th Century

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This new edited volume features contributions from many of the leading scientists in probability and statistics from the latter part of the 20th century. It is the only book to assemble the views of these leading scientists--the pioneers in their respective fields.

*Stochastic Musings* features contributions by:

***Sir David Cox** on statistics and econometrics;

***C.R. Rao, M.B. Rao,** and **D.N. Shanbhag** on convex sets of multivariate distributions and their extreme points;

***Bradley Efron** on the future of statistics;

***David Freedman** on regression association and causation;

***Vic Barnett** on sample ordering for effective statistical inference with particular reference to environmental issues;

***David Bartholomew** on a unified statistical approach to some measurement problems in the social sciences;

***Joe Gani** on scanning a lattice for a particular pattern;

***Leslie Kish** on new paradigms for probability sampling (his last paper);

***Samuel Kotz** and **Norman L. Johnson** on limit distributions of uncorrelated but dependent distributions on the unit square;

***Samuel Kotz** and **Saralees Nadarajah** on some new elliptical distributions;

***Jef Teugels** on the life span of a renewal;

***Wolfgang Urfer** and **Katharina Emrich** on maximum likelihood estimates of genetic effects; and

****Vladimir M. Zolotarev** on convergence rate estimates in functional limit theorems.

The volume also includes the following contributions by faculty members of the Department of Statistics, Athens University of Economics and Business:

***J. Panaretos, E. Xekalaki,** and **S. Psarakis** on a predictive model evaluation and selection approach--the correlated gamma ratio distribution;

***J. Panaretos** and **Z. Tsourti** on extreme value index estimators and smoothing alternatives;

***E. Xekalaki** and **D. Karlis** on mixtures everywhere; and

* **Ir. Moustaki** on latent variable models with covariates.

*Stochastic Musings* will appeal to researchers, professionals, and students interested in the history and development of statistics and probability as well as in related areas, such as physics, biometry, economics, and mathematics. Academic and professional statisticians will benefit from the book's coverage of the latest developments in the field, as well as reflections on the future directions of the discipline.

**Contents: **Preface. **V. Barnett,** Sample Ordering for Effective Statistical Inference With Particular Reference to Environmental Issues. **D. Bartholomew,** A Unified Statistical Approach to Some Measurement Problems in the Social Sciences. **D.R. Cox,** Some Remarks on Statistical Aspects of Econometrics. **B. Efron,** The Statistical Century. **D. Freedman,** From Association to Causation: Some Remarks on the History of Statistics. **J. Gani,** Scanning a Lattice for a Particular Pattern. **D. Karlis, E. Xekalaki,** Mixtures Everywhere. **L. Kish,** New Paradigms (Models) for Probability Sampling. **S. Kotz, N.L. Johnson,** Limit Distributions of Uncorrelated but Dependent Distributions on the Unit Square. **I. Moustaki,** Latent Variable Models With Covariates. **S. Nadarajah, S. Kotz,** Some New Elliptical Distributions. **J. Panaretos, Z. Tsourti,** Extreme Value Index Estimators and Smoothing Alternatives: A Critical Review. **R.C. Rao, B.M. Rao, D.N. Shanbhag,** On Convex Sets of Multivariate Distributions and Their Extreme Points. **J. Teugels,** The Lifespan of a Renewal. **W. Urfer, K. Emrich,** Maximum Likelihood Estimates of Genetic Effects. **E. Xekalaki, J. Panaretos, S. Psarakis,** A Predictive Model Evaluation and Selection Approach--The Correlated Gamma Ratio Distribution. **V.M. Zolotarev,** Convergence Rate Estimates in Functional Limit Theorems.

This new edited volume features contributions from many of the leading scientists in probability and statistics from the latter part of the 20th century. It is the only book to assemble the views of these leading scientists--the pioneers in their respective fields.

*Stochastic Musings* features contributions by:

***Sir David Cox** on statistics and econometrics;

***C.R. Rao, M.B. Rao,** and **D.N. Shanbhag** on convex sets of multivariate distributions and their extreme points;

***Bradley Efron** on the future of statistics;

***David Freedman** on regression association and causation;

***Vic Barnett** on sample ordering for effective statistical inference with particular reference to environmental issues;

***David Bartholomew** on a unified statistical approach to some measurement problems in the social sciences;

***Joe Gani** on scanning a lattice for a particular pattern;

***Leslie Kish** on new paradigms for probability sampling (his last paper);

***Samuel Kotz** and **Norman L. Johnson** on limit distributions of uncorrelated but dependent distributions on the unit square;

***Samuel Kotz** and **Saralees Nadarajah** on some new elliptical distributions;

***Jef Teugels** on the life span of a renewal;

***Wolfgang Urfer** and **Katharina Emrich** on maximum likelihood estimates of genetic effects; and

****Vladimir M. Zolotarev** on convergence rate estimates in functional limit theorems.

The volume also includes the following contributions by faculty members of the Department of Statistics, Athens University of Economics and Business:

***J. Panaretos, E. Xekalaki,** and **S. Psarakis** on a predictive model evaluation and selection approach--the correlated gamma ratio distribution;

***J. Panaretos** and **Z. Tsourti** on extreme value index estimators and smoothing alternatives;

***E. Xekalaki** and **D. Karlis** on mixtures everywhere; and

* **Ir. Moustaki** on latent variable models with covariates.

*Stochastic Musings* will appeal to researchers, professionals, and students interested in the history and development of statistics and probability as well as in related areas, such as physics, biometry, economics, and mathematics. Academic and professional statisticians will benefit from the book's coverage of the latest developments in the field, as well as reflections on the future directions of the discipline.

**Contents: **Preface. **V. Barnett,** Sample Ordering for Effective Statistical Inference With Particular Reference to Environmental Issues. **D. Bartholomew,** A Unified Statistical Approach to Some Measurement Problems in the Social Sciences. **D.R. Cox,** Some Remarks on Statistical Aspects of Econometrics. **B. Efron,** The Statistical Century. **D. Freedman,** From Association to Causation: Some Remarks on the History of Statistics. **J. Gani,** Scanning a Lattice for a Particular Pattern. **D. Karlis, E. Xekalaki,** Mixtures Everywhere. **L. Kish,** New Paradigms (Models) for Probability Sampling. **S. Kotz, N.L. Johnson,** Limit Distributions of Uncorrelated but Dependent Distributions on the Unit Square. **I. Moustaki,** Latent Variable Models With Covariates. **S. Nadarajah, S. Kotz,** Some New Elliptical Distributions. **J. Panaretos, Z. Tsourti,** Extreme Value Index Estimators and Smoothing Alternatives: A Critical Review. **R.C. Rao, B.M. Rao, D.N. Shanbhag,** On Convex Sets of Multivariate Distributions and Their Extreme Points. **J. Teugels,** The Lifespan of a Renewal. **W. Urfer, K. Emrich,** Maximum Likelihood Estimates of Genetic Effects. **E. Xekalaki, J. Panaretos, S. Psarakis,** A Predictive Model Evaluation and Selection Approach--The Correlated Gamma Ratio Distribution. **V.M. Zolotarev,** Convergence Rate Estimates in Functional Limit Theorems.

This new edited volume features contributions from many of the leading scientists in probability and statistics from the latter part of the 20th century. It is the only book to assemble the views of these leading scientists--the pioneers in their respective fields.

*Stochastic Musings* features contributions by:

***Sir David Cox** on statistics and econometrics;

***C.R. Rao, M.B. Rao,** and **D.N. Shanbhag** on convex sets of multivariate distributions and their extreme points;

***Bradley Efron** on the future of statistics;

***David Freedman** on regression association and causation;

***Vic Barnett** on sample ordering for effective statistical inference with particular reference to environmental issues;

***David Bartholomew** on a unified statistical approach to some measurement problems in the social sciences;

***Joe Gani** on scanning a lattice for a particular pattern;

***Leslie Kish** on new paradigms for probability sampling (his last paper);

***Samuel Kotz** and **Norman L. Johnson** on limit distributions of uncorrelated but dependent distributions on the unit square;

***Samuel Kotz** and **Saralees Nadarajah** on some new elliptical distributions;

***Jef Teugels** on the life span of a renewal;

***Wolfgang Urfer** and **Katharina Emrich** on maximum likelihood estimates of genetic effects; and

****Vladimir M. Zolotarev** on convergence rate estimates in functional limit theorems.

The volume also includes the following contributions by faculty members of the Department of Statistics, Athens University of Economics and Business:

***J. Panaretos, E. Xekalaki,** and **S. Psarakis** on a predictive model evaluation and selection approach--the correlated gamma ratio distribution;

***J. Panaretos** and **Z. Tsourti** on extreme value index estimators and smoothing alternatives;

***E. Xekalaki** and **D. Karlis** on mixtures everywhere; and

* **Ir. Moustaki** on latent variable models with covariates.

*Stochastic Musings* will appeal to researchers, professionals, and students interested in the history and development of statistics and probability as well as in related areas, such as physics, biometry, economics, and mathematics. Academic and professional statisticians will benefit from the book's coverage of the latest developments in the field, as well as reflections on the future directions of the discipline.

**Contents: **Preface. **V. Barnett,** Sample Ordering for Effective Statistical Inference With Particular Reference to Environmental Issues. **D. Bartholomew,** A Unified Statistical Approach to Some Measurement Problems in the Social Sciences. **D.R. Cox,** Some Remarks on Statistical Aspects of Econometrics. **B. Efron,** The Statistical Century. **D. Freedman,** From Association to Causation: Some Remarks on the History of Statistics. **J. Gani,** Scanning a Lattice for a Particular Pattern. **D. Karlis, E. Xekalaki,** Mixtures Everywhere. **L. Kish,** New Paradigms (Models) for Probability Sampling. **S. Kotz, N.L. Johnson,** Limit Distributions of Uncorrelated but Dependent Distributions on the Unit Square. **I. Moustaki,** Latent Variable Models With Covariates. **S. Nadarajah, S. Kotz,** Some New Elliptical Distributions. **J. Panaretos, Z. Tsourti,** Extreme Value Index Estimators and Smoothing Alternatives: A Critical Review. **R.C. Rao, B.M. Rao, D.N. Shanbhag,** On Convex Sets of Multivariate Distributions and Their Extreme Points. **J. Teugels,** The Lifespan of a Renewal. **W. Urfer, K. Emrich,** Maximum Likelihood Estimates of Genetic Effects. **E. Xekalaki, J. Panaretos, S. Psarakis,** A Predictive Model Evaluation and Selection Approach--The Correlated Gamma Ratio Distribution. **V.M. Zolotarev,** Convergence Rate Estimates in Functional Limit Theorems.

*Stochastic Musings* features contributions by:

***Sir David Cox** on statistics and econometrics;

**C.R. Rao, M.B. Rao,** and **D.N. Shanbhag** on convex sets of multivariate distributions and their extreme points;

***Bradley Efron** on the future of statistics;

***David Freedman** on regression association and causation;

**Vic Barnett** on sample ordering for effective statistical inference with particular reference to environmental issues;

**David Bartholomew** on a unified statistical approach to some measurement problems in the social sciences;

***Joe Gani** on scanning a lattice for a particular pattern;

***Leslie Kish** on new paradigms for probability sampling (his last paper);

**Samuel Kotz** and **Norman L. Johnson** on limit distributions of uncorrelated but dependent distributions on the unit square;

***Samuel Kotz** and **Saralees Nadarajah** on some new elliptical distributions;

***Jef Teugels** on the life span of a renewal;

***Wolfgang Urfer** and **Katharina Emrich** on maximum likelihood estimates of genetic effects; and

****Vladimir M. Zolotarev** on convergence rate estimates in functional limit theorems.

**J. Panaretos, E. Xekalaki,** and **S. Psarakis** on a predictive model evaluation and selection approach--the correlated gamma ratio distribution;

***J. Panaretos** and **Z. Tsourti** on extreme value index estimators and smoothing alternatives;

***E. Xekalaki** and **D. Karlis** on mixtures everywhere; and

* **Ir. Moustaki** on latent variable models with covariates.

*Stochastic Musings* will appeal to researchers, professionals, and students interested in the history and development of statistics and probability as well as in related areas, such as physics, biometry, economics, and mathematics. Academic and professional statisticians will benefit from the book's coverage of the latest developments in the field, as well as reflections on the future directions of the discipline.

**Contents: **Preface. **V. Barnett,** Sample Ordering for Effective Statistical Inference With Particular Reference to Environmental Issues. **D. Bartholomew,** A Unified Statistical Approach to Some Measurement Problems in the Social Sciences. **D.R. Cox,** Some Remarks on Statistical Aspects of Econometrics. **B. Efron,** The Statistical Century. **D. Freedman,** From Association to Causation: Some Remarks on the History of Statistics. **J. Gani,** Scanning a Lattice for a Particular Pattern. **D. Karlis, E. Xekalaki,** Mixtures Everywhere. **L. Kish,** New Paradigms (Models) for Probability Sampling. **S. Kotz, N.L. Johnson,** Limit Distributions of Uncorrelated but Dependent Distributions on the Unit Square. **I. Moustaki,** Latent Variable Models With Covariates. **S. Nadarajah, S. Kotz,** Some New Elliptical Distributions. **J. Panaretos, Z. Tsourti,** Extreme Value Index Estimators and Smoothing Alternatives: A Critical Review. **R.C. Rao, B.M. Rao, D.N. Shanbhag,** On Convex Sets of Multivariate Distributions and Their Extreme Points. **J. Teugels,** The Lifespan of a Renewal. **W. Urfer, K. Emrich,** Maximum Likelihood Estimates of Genetic Effects. **E. Xekalaki, J. Panaretos, S. Psarakis,** A Predictive Model Evaluation and Selection Approach--The Correlated Gamma Ratio Distribution. **V.M. Zolotarev,** Convergence Rate Estimates in Functional Limit Theorems.

*Stochastic Musings* features contributions by:

***Sir David Cox** on statistics and econometrics;

**C.R. Rao, M.B. Rao,** and **D.N. Shanbhag** on convex sets of multivariate distributions and their extreme points;

***Bradley Efron** on the future of statistics;

***David Freedman** on regression association and causation;

**Vic Barnett** on sample ordering for effective statistical inference with particular reference to environmental issues;

**David Bartholomew** on a unified statistical approach to some measurement problems in the social sciences;

***Joe Gani** on scanning a lattice for a particular pattern;

***Leslie Kish** on new paradigms for probability sampling (his last paper);

**Samuel Kotz** and **Norman L. Johnson** on limit distributions of uncorrelated but dependent distributions on the unit square;

***Samuel Kotz** and **Saralees Nadarajah** on some new elliptical distributions;

***Jef Teugels** on the life span of a renewal;

***Wolfgang Urfer** and **Katharina Emrich** on maximum likelihood estimates of genetic effects; and

****Vladimir M. Zolotarev** on convergence rate estimates in functional limit theorems.

**J. Panaretos, E. Xekalaki,** and **S. Psarakis** on a predictive model evaluation and selection approach--the correlated gamma ratio distribution;

***J. Panaretos** and **Z. Tsourti** on extreme value index estimators and smoothing alternatives;

***E. Xekalaki** and **D. Karlis** on mixtures everywhere; and

* **Ir. Moustaki** on latent variable models with covariates.

*Stochastic Musings* will appeal to researchers, professionals, and students interested in the history and development of statistics and probability as well as in related areas, such as physics, biometry, economics, and mathematics. Academic and professional statisticians will benefit from the book's coverage of the latest developments in the field, as well as reflections on the future directions of the discipline.

**Contents: **Preface. **V. Barnett,** Sample Ordering for Effective Statistical Inference With Particular Reference to Environmental Issues. **D. Bartholomew,** A Unified Statistical Approach to Some Measurement Problems in the Social Sciences. **D.R. Cox,** Some Remarks on Statistical Aspects of Econometrics. **B. Efron,** The Statistical Century. **D. Freedman,** From Association to Causation: Some Remarks on the History of Statistics. **J. Gani,** Scanning a Lattice for a Particular Pattern. **D. Karlis, E. Xekalaki,** Mixtures Everywhere. **L. Kish,** New Paradigms (Models) for Probability Sampling. **S. Kotz, N.L. Johnson,** Limit Distributions of Uncorrelated but Dependent Distributions on the Unit Square. **I. Moustaki,** Latent Variable Models With Covariates. **S. Nadarajah, S. Kotz,** Some New Elliptical Distributions. **J. Panaretos, Z. Tsourti,** Extreme Value Index Estimators and Smoothing Alternatives: A Critical Review. **R.C. Rao, B.M. Rao, D.N. Shanbhag,** On Convex Sets of Multivariate Distributions and Their Extreme Points. **J. Teugels,** The Lifespan of a Renewal. **W. Urfer, K. Emrich,** Maximum Likelihood Estimates of Genetic Effects. **E. Xekalaki, J. Panaretos, S. Psarakis,** A Predictive Model Evaluation and Selection Approach--The Correlated Gamma Ratio Distribution. **V.M. Zolotarev,** Convergence Rate Estimates in Functional Limit Theorems.

*Stochastic Musings* features contributions by:

***Sir David Cox** on statistics and econometrics;

**C.R. Rao, M.B. Rao,** and **D.N. Shanbhag** on convex sets of multivariate distributions and their extreme points;

***Bradley Efron** on the future of statistics;

***David Freedman** on regression association and causation;

**Vic Barnett** on sample ordering for effective statistical inference with particular reference to environmental issues;

**David Bartholomew** on a unified statistical approach to some measurement problems in the social sciences;

***Joe Gani** on scanning a lattice for a particular pattern;

***Leslie Kish** on new paradigms for probability sampling (his last paper);

**Samuel Kotz** and **Norman L. Johnson** on limit distributions of uncorrelated but dependent distributions on the unit square;

***Samuel Kotz** and **Saralees Nadarajah** on some new elliptical distributions;

***Jef Teugels** on the life span of a renewal;

***Wolfgang Urfer** and **Katharina Emrich** on maximum likelihood estimates of genetic effects; and

****Vladimir M. Zolotarev** on convergence rate estimates in functional limit theorems.

**J. Panaretos, E. Xekalaki,** and **S. Psarakis** on a predictive model evaluation and selection approach--the correlated gamma ratio distribution;

***J. Panaretos** and **Z. Tsourti** on extreme value index estimators and smoothing alternatives;

***E. Xekalaki** and **D. Karlis** on mixtures everywhere; and

* **Ir. Moustaki** on latent variable models with covariates.

*Stochastic Musings* will appeal to researchers, professionals, and students interested in the history and development of statistics and probability as well as in related areas, such as physics, biometry, economics, and mathematics. Academic and professional statisticians will benefit from the book's coverage of the latest developments in the field, as well as reflections on the future directions of the discipline.

**Contents: **Preface. **V. Barnett,** Sample Ordering for Effective Statistical Inference With Particular Reference to Environmental Issues. **D. Bartholomew,** A Unified Statistical Approach to Some Measurement Problems in the Social Sciences. **D.R. Cox,** Some Remarks on Statistical Aspects of Econometrics. **B. Efron,** The Statistical Century. **D. Freedman,** From Association to Causation: Some Remarks on the History of Statistics. **J. Gani,** Scanning a Lattice for a Particular Pattern. **D. Karlis, E. Xekalaki,** Mixtures Everywhere. **L. Kish,** New Paradigms (Models) for Probability Sampling. **S. Kotz, N.L. Johnson,** Limit Distributions of Uncorrelated but Dependent Distributions on the Unit Square. **I. Moustaki,** Latent Variable Models With Covariates. **S. Nadarajah, S. Kotz,** Some New Elliptical Distributions. **J. Panaretos, Z. Tsourti,** Extreme Value Index Estimators and Smoothing Alternatives: A Critical Review. **R.C. Rao, B.M. Rao, D.N. Shanbhag,** On Convex Sets of Multivariate Distributions and Their Extreme Points. **J. Teugels,** The Lifespan of a Renewal. **W. Urfer, K. Emrich,** Maximum Likelihood Estimates of Genetic Effects. **E. Xekalaki, J. Panaretos, S. Psarakis,** A Predictive Model Evaluation and Selection Approach--The Correlated Gamma Ratio Distribution. **V.M. Zolotarev,** Convergence Rate Estimates in Functional Limit Theorems.