 About 2,170 results  books.google.com The Mspace, M(S), of an experiment S = (#, st\ P6 : 0 e 0) was defined as the
space of bounded linear functionals on L(S). It is then clear from proposition 5.5.
1 3 that M(S) is an order complete Mspace with a unit. Each bounded
measurable ... 

 books.google.com Statistical Experiments and Asymptotic Decision Theory Helmut Strasser. 24.5
Theorem. For every ... Any two Lspaces of a dominated experiment are
isometrically isomorphic (relative to linear and order structure) to each other.
Indeed, let dv ... 

 books.google.com If the experiment 6: 9 we P9 is such that S = {P9; 9 6 O1 has for band the whole
range space L, we Shall say that 6 ... the set of ft" ofthe more usual description it
is necessary to translate to the present language the definition of “statistics.” This
is ... 

 books.google.com Malay Ghosh, Pramod K. Pathak  1992  Full view Let E = (X, A, P) be an experiment. The band L(E) generated by P in the space of
bounded signed measures on J( is called the Lspace of E. If E is majorized and
n is a majorizing measure equivalent to P (shown to exist by Diepenbrock, 1971)
... 

 books.google.com Karl C. Mosler, Marco Scarsini  1991  Full view A statistical experiment (model) is a family of probability measures on a common
measurable space called the sample space of ... this space becomes a Banach
lattice L(£) having the additional property that the norm is additive on the cone of
... 

 books.google.com The triplet £ := {Q,J',V) is called "(statistical) experiment". We now give three
equivalent definitions for the Lspace £ of an experiment £ . In the course of
proving these equivalences  and also in the sequel  it is convenient to denote
by H(M) ... 

 books.google.com There are three different (although equivalent) ways to define the Lspace L(£) of
a statistical experiment £ = (£l,T, V), where V is an (arbitrarily complex) set of
probability measures on a measurable space (Q, T) . This L(£) is an ordered ... 

 books.google.com Multiplication Event Homogeneity Mean independent yes/no experiments, each
of which yields success with probability p. ... effect. ln probability theory, an event
is a set of outcomes (a subset of the l space) to which a probability is assigned. 

 books.google.com Theory of statistics Jerzy Neyman. [5]. Also it improves some results ... An
experiment & indexed by 0 is a function 0 Pe from 0 to an Lspace L. This function
is subject to the restriction that Pg^0 and \\Pg\\ = 1. Let S be a subset of the L
space L. 

 books.google.com Statistical hypotheses and tests Let (A',<8',P',Pf), t € R+, be a family of statistical
experiments generated by observations £' of an arbitrary nature, ... Denote by 6t =
(6t(x))xex' a measurable map of the space (A',!8') to the space ([0, l],fi([0, 1])). 

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