A Probability Path (Modern Birkhäuser Classics)
De (autor) Sidney I. Resnicken Limba Engleză Carte Paperback – 14 Nov 2013
A one-semester course is laid out in an efficient and readable manner covering the core material. The first three chapters provide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applications to statistics (quantile and distribution function estimation) and applied probability. Two subsequent chapters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treats conditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance.
Like Adventures in Stochastic Processes, Resnick’s related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations and problems and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience.
This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems.
—Publications of the International Statistical Institute
This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications.
—Revue Roumaine de Mathématiques Pures et Appliquées
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Specificații
ISBN-13: 9780817684082
ISBN-10: 0817684085
Pagini: 453
Ilustrații: 10 schwarz-weiße Abbildungen
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.70 kg
Ediția: 2014
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Modern Birkhäuser Classics
Locul publicării: Boston, MA, United States
ISBN-10: 0817684085
Pagini: 453
Ilustrații: 10 schwarz-weiße Abbildungen
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.70 kg
Ediția: 2014
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Modern Birkhäuser Classics
Locul publicării: Boston, MA, United States
Public țintă
ResearchCuprins
1
Sets
and
Events.-
2 Probability
Spaces.- 3 Random
Variables,
Elements
and
Measurable
Maps.- 4 Independence.- 5 Integration
and
Expectation.- 6 Convergence
Concepts.- 7 Laws
of
Large
Numbers
and
Sums
of
Independent
Random
Variables.- 8 Convergence
in
Distribution.- 9 Characteristic
Functions
and
the
Central
Limit
Theorem.- 10 Martingales.- Index.- References.
Recenzii
From
the
reviews:
“This introduction to measure-theoretic probability is intended for students whose primary interest is not mathematics but statistics, engineering, biology, or finance. The book is a welcome reprint in paperback … . The book’s pace … is ‘quick and disciplined’.” (William J. Satzer, MAA Reviews, March, 2014)
“This introduction to measure-theoretic probability is intended for students whose primary interest is not mathematics but statistics, engineering, biology, or finance. The book is a welcome reprint in paperback … . The book’s pace … is ‘quick and disciplined’.” (William J. Satzer, MAA Reviews, March, 2014)
Textul de pe ultima copertă
Many
probability
books
are
written
by
mathematicians
and
have
the
built-in
bias
that
the
reader
is
assumed
to
be
a
mathematician
coming
to
the
material
for
its
beauty.
This
textbook
is
geared
towards
beginning
graduate
students
from
a
variety
of
disciplines
whose
primary
focus
is
not
necessarily
mathematics
for
its
own
sake.
Instead,
A
Probability
Path
is
designed
for
those
requiring
a
deep
understanding
of
advanced
probability
for
their
research
in
statistics,
applied
probability,
biology,
operations
research,
mathematical
finance,
and
engineering.
A one-semester course is laid out in an efficient and readable manner covering the core material. The first three chapters provide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applications to statistics (quantile and distribution function estimation), and applied probability. Two subsequent chapters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treats conditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance.
Like Adventures in Stochastic Processes, Resnick’s related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations, and problems, and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience.
This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems.
—Publications of the International Statistical Institute
This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications.
—Revue Roumaine de Mathématiques Pures et Appliquées
A one-semester course is laid out in an efficient and readable manner covering the core material. The first three chapters provide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applications to statistics (quantile and distribution function estimation), and applied probability. Two subsequent chapters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treats conditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance.
Like Adventures in Stochastic Processes, Resnick’s related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations, and problems, and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience.
This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems.
—Publications of the International Statistical Institute
This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications.
—Revue Roumaine de Mathématiques Pures et Appliquées
Caracteristici
Affordable,
softcover
reprint
of
a
classic
textbook
Mathematically rigorous treatment aimed at non-mathematicians
Includes a clear outline for a one-semester course
Mathematically rigorous treatment aimed at non-mathematicians
Includes a clear outline for a one-semester course