Undergraduate Catalogue - UPRM

COLLEGE OF ARTS AND SCIENCES
MATHEMATICAL STATISTICS
Undergraduate Courses
ESMA 3015. ELEMENTARY STATISTICS.
Three credit hours. Three hours of lecture per
week. Prerequisite: MATE 3171 or MATE 3173.
Nature and meaning of statistics; elements of
probability; normal and binomial distributions;
organization of data; measures of location and
variability; elements of statistical inference; simple
regression and correlation. Statistical analysis
through computers.
ESMA 3016. STATISTICAL DATA ANALYSIS.
Three credit hours. Two hours of lecture and one
two-hour laboratory per week. Pre-requisite:
(MATE 3031 or MATE 3144) and COMP 3010.
Statistical data analysis including descriptive and
inferential statistics and exploratory data analysis.
ESMA 3101. APPLIED STATISTICS I. Three
credit hours. Three hours of lecture per week.
Prerequisite: MATE 3171 or MATE 3173.
Basic concepts of methods of applied statistics.
Descriptive statistics: probability; random
variables; probability distribution. Statistical
analysis through computers.
ESMA 3102. APPLIED STATISTICS II. Three
credit hours. Three hours of lecture per week.
Prerequisite: ESMA 3101.
ESMA 4005. NON-PARAMETRIC APPLIED
STATISTICS. Three credit hours. Three hours of
lecture per week. Prerequisite: ESMA 3102 or
ESMA 4001 or ESTA 3002.
Non-parametric statistical techniques applied to
independent samples and correlated samples;
independence and homogeneity of factors;
computation of point estimates and confidence
intervals for parameters, and the testing of
hypotheses.
ESMA 4038. SAMPLING METHODS. Three
credit hours. Three hours of lecture per week.
Prerequisite: ESMA 3102 or ESMA 4001 or ESTA
3002.
Introduction to the theory and application of
statistical sampling methods.
Advanced Undergraduate and Graduate
Course
ESMA 5015. STOCHASTIC SIMULATION.
Three credit hours. Three hours of lecture per
week. Prerequisite: ESMA 4001.
Basic methods of simulation, modeling of complex
systems, simulation languages, generation of
random numbers, model validity, analysis of
solutions, variance reduction techniques, and the
design of experiments.
Sampling, elements of estimation and tests of
hypotheses, regression and correlation analysis,
chi-square and contingency tables.
ESMA 4001. MATHEMATICAL STATISTICS I.
Three credit hour. Three hours of lecture per week.
Prerequisite: MATE 3032.
Nature of statistics, probability, random variables
and their probability distributions, moment
generating functions, sampling distributions and the
central limit theorem.
ESMA 4002. MATHEMATICAL STATISTIC II.
Three credit hour. Three hours of lecture per week.
Prerequisite: ESMA 4001 and MATE 3063.
Multivariate probability distributions, methods of
estimation, tests of hypotheses, linear models,
design of experiments, analysis of variance, and
contingency tables.
Undergraduate Catalogue 2004-2005 193