- Explores
- mathematical
- statistics
- in
- its
- entirety—from
- the
- fundamentals
- to
- modern
- methodsThis
- book
- introduces
- readers
- to
- point
- estimation,
- confidence
- intervals,
- and
- statistical
- tests.
- Based
- on
- the
- general
- theory
- of
- linear
- models,
- it
- provides
- an
- in-depth
- overview
- of
- the
- following:
- analysis
- of
- variance
- (ANOVA)
- for
- models
- with
- fixed,
- random,
- and
- mixed
- effects;
- regression
- analysis
- is
- also
- first
- presented
- for
- linear
- models
- with
- fixed,
- random,
- and
- mixed
- effects
- before
- being
- expanded
- to
- nonlinear
- models;
- statistical
- multi-decision
- problems
- like
- statistical
- selection
- procedures
- (Bechhofer
- and
- Gupta)
- and
- sequential
- tests;
- and
- design
- of
- experiments
- from
- a
- mathematical-statistical
- point
- of
- view.
- Most
- analysis
- methods
- have
- been
- supplemented
- by
- formulae
- for
- minimal
- sample
- sizes.
- The
- chapters
- also
- contain
- exercises
- with
- hints
- for
- solutions.Translated
- from
- the
- successful
- German
- text,
- Mathematical
- Statistics
- requires
- knowledge
- of
- probability
- theory
- (combinatorics,
- probability
- distributions,
- functions
- and
- sequences
- of
- random
- variables),
- which
- is
- typically
- taught
- in
- the
- earlier
- semesters
- of
- scientific
- and
- mathematical
- study
- courses.
- It
- teaches
- readers
- all
- about
- statistical
- analysis
- and
- covers
- the
- design
- of
- experiments.
- The
- book
- also
- describes
- optimal
- allocation
- in
- the
- chapters
- on
- regression
- analysis.
- Additionally,
- it
- features
- a
- chapter
- devoted
- solely
- to
- experimental
- designs.Mathematical
- Statistics
- is
- a
- recommended
- text
- for
- advanced
- students
- and
- practitioners
- of
- math,
- probability,
- and statistics.
pro-mbooks3 : libris
