SelectedWorks - Lawrence Leemis

Contact

Selected Works of Lawrence Leemis

Professor of Mathematics

Lawrence Leemis' areas of specialization include Reliability, simulation, probability, and statistics.

Works
About

About Lawrence Leemis

Lawrence Leemis' areas of specialization include Reliability, simulation, probability, and statistics.

Present	Professor, William & Mary ‐ Mathematics Department
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Physical Sciences and Mathematics and Mathematics

Articles (12)

Article

The Probability Mass Function of the Kaplan-Meier Product-Limit Estimator

The American Statistician (2022)

Lawrence Leemis, Yuxin Qin and Heather Sasinowska

Kaplan and Meier’s 1958 article developed a nonparametric estimator of the survivor function from a rightcensored dataset. Determining the size ...

Download

Article

Symbolic ARMA Model Analysis

Computational Economics (2014)

Keith H. Webb and Lawrence Leemis

ARMA models provide a parsimonious and flexible mechanism for modeling the evolution of a time series. Some useful measures of ...

Download

Article

Univariate Probability Distributions

Journal of Statistics Education (2012)

Lawrence Leemis, Daniel J. Luckett, Austin Powell and Peter J. Vermeer

We describe a web-based interactive graphic that can be used as a resource in introductory classes in mathematical statistics. This ...

Download

Article

Managing magnetic resonance imaging machines: support tools for scheduling and ...

Health Care Management Science (2011)

Adam P. Carpenter, Lawrence Leemis, Alan .S. Papir, David J. Phillips, et al.

We devise models and algorithms to estimate the impact of current and future patient demand for examinations on Magnetic Resonance ...

Download

Article

Parametric Model Discrimination for Heavily Censored Survival Data

IEEE Transactions on Reliability (2008)

Lawrence Leemis and A. D. Block

Simultaneous discrimination among various parametric lifetime models is an important step in the parametric analysis of survival data. We consider ...

Download

Article

Algorithms for Computing the Distributions of Sums of Discrete Random ...

Mathematical and Computer Modeling (2004)

D. L. Evans and Lawrence Leemis

We present algorithms for computing the probability density function of the sum of two independent discrete random variables, along with ...

Download

Article

Computing the cumulative distribution function of the Kolmogorov–Smirnov statistic

Computational Statistics & Data Analysis (2000)

John H. Drew, Andrew G. Glen and Lawrence Leemis

We present an algorithm for computing the cumulative distribution function of the Kolmogorov–Smirnov test statistic Dn in the all-parameters-known case. ...

Download

Article

Nonparametric Estimation of the Cumulative Intensity Function for a Nonhomogeneous ...

Management Science (2000)

Bradford L. Arkin and Lawrence Leemis

A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations on ...

Download

Article

A Generalized Univariate Change-of-Variable Transformation Technique

INFORMS Journal of Computing (1997)

Andrew G. Glen, Lawrence Leemis and John H. Drew

We present a generalized version of the univariate change-of-variable technique for transforming continuous random variables. Extending a theorem from Casella ...

Download

Article

Computational Algebra Applications in Reliability

IEEE Transactions on Reliability (1996)

G Hartless and Lawrence Leemis

Reliability analysts are typically forced to choose between using an 'algorithmic programming language' or a 'reliability package' for analyzing their ...

Download

Article

On the minimum of independent geometrically distributed random variables

Statistics and Probability Letters (1995)

Gianfranco Ciardo, Lawrence Leemis and David Nicol

The expectations E[X(1)], E[Z(1)], and E[Y(1)] of the minimum of n independent geometric, modified geometric, or exponential random variables with ...

Download

Article

Variate Generation for Nonhomogeneous Poisson Processes with Time Dependent Covariates

Journal of Statistical Computation and Simulation (1993)

Li-Hsing Shih and Lawrence Leemis

Algorithms are developed for generating a sequence of event times from a nonhomogeneous Poisson process that is influenced by the ...

Download

Contribution to Book

Introducing R

Arts & Sciences Book Chapters (2022)

Lawrence Leemis

R is an open source programming language and interactive programming environment that has become the software tool of choice in ...

Download

Contribution to Book

Random Sampling

Arts & Sciences Book Chapters (2020)

Lawrence Leemis

Mathematical Statistics describes the mathematical underpinnings associated with the practice of statistics. The pre-requisite for this book is a calculus-based ...

Download

Contribution to Book

Introduction to "Probability"

Arts & Sciences Book Chapters (2018)

Lawrence Leemis

This calculus-based introduction to probability covers all of the traditional topics, along with a secondary emphasis on Monte Carlo simulation. ...

Download

Contribution to Book

Arithmetic

Arts & Sciences Book Chapters (2012)

Lawrence Leemis

Transitioning to Calculus is a comprehensive compilation of the mathematical concepts and formulas that are required of students entering their ...

Download

Contribution to Book

Lower Confidence Bounds for System Reliability from Binary Failure Data ...

Arts & Sciences Book Chapters (2009)

Lawrence Leemis

We consider the problem of determining a (1 – A) 100% lower confidence bound on the system reliability for a ...

Download

Book

Statistical Modeling: Regression, Survival Analysis, and Time Series Analysis

(2023)

Lawrence Leemis

Download

Book

Mathematical Statistics

(2020)

Lawrence Leemis

Mathematical Statistics describes the mathematical underpinnings associated with the practice of statistics. The pre-requisite for this book is a calculus-based ...

Link

Book

Computational Probability Applications

(2017)

Andrew G. Glen and Lawrence Leemis

This focuses on the developing field of building probability models with the power of symbolic algebra systems. The book combines ...

Link

This calculus-based introduction to probability covers all of the traditional topics, along with a secondary emphasis on Monte Carlo simulation. ...

Link

R is an open source programming language and interactive programming environment that has become the software tool of choice in data ...

Link

Book

Transitioning to Calculus

(2012)

Lawrence Leemis

Transitioning to Calculus is a comprehensive compilation of the mathematical concepts and formulas that are required of students entering their first ...

Link

Other

Univariate Distribution Relationships Interactive Chart

(2021)

Lawrence Leemis

A univariate probability distribution is used to assign a probability to various outcomes of a random experiment. A random experiment ...

Link

About Lawrence Leemis

Positions

Disciplines

Articles (12)

Book Chapters (5)

Books (6)

Website (1)