WHAT DOES CHARACTERISTIC FUNCTION MEAN IN ENGLISH?
Definition of characteristic function in the English dictionary
The definition of characteristic function in the dictionary is a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers. Other definition of characteristic function is a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed.
10 ENGLISH BOOKS RELATING TO «CHARACTERISTIC FUNCTION»
Discover the use of
characteristic function in the following bibliographical selection. Books relating to
characteristic function and brief extracts from same to provide context of its use in English literature.
1
Characteristic Functions
Preliminary study of characteristic functions; Fundamental properties of characteristic functions; Criteria for characteristic functions; Factorization problems - infinitely divisible characteristic functions; Factorization problems - ...
2
Characteristic Functions and Moment Sequences: Positive ...
In this section we first prove Bochner's theorem which gives necessary and
sufficient conditions for a complex-valued function to be a characteristic function.
We then use this result to prove Plancherel's theorem for the real line. In the next
...
Torben Maack Bisgaard, Zoltán Sasvári, 2000
3
Selected Topics in
Characteristic Functions
Probably the empirical characteristic function first appeared in (Cramer, 1946).
Since then and until the middle of 70s, several works have been published using
empirical characteristic functions for the parameter estimation and testing ...
4
Operator Theory and Its Applications
is unitary, there is associated the transfer function W^(z) of the system (also
called the characteristic function of the colligation) given by which is a contractive
, analytic, operator-valued function on the unit disk D taking values in £(£,£,).
Alexander G. Ramm, P. N. Shivakumar, Abraham Vilgelmovich Strauss
5
Canadian Journal of Mathematics
It is often of interest to decide whether a given function <p(t) can be the
characteristic function of a probability distribution, that is, whether it admits the
representation (1) Here F(x) is a distribution function and <p(t) its
characteristic
function.
6
Advanced Probability Theory, Second Edition,
Show that A" is a lattice variable if and only if its characteristic function 1p(t)
satisfies |1p(r0)| = 1 for some real number r0*0. 4. Deduce from Exercise 3 that if
1p(t) is the characteristic function of a nondegenerate distribution then O(r)]". a <
0, ...
7
Handbook of Quantitative Finance and Risk Management
H.W. Chuang, Y.L. Hsu, and C.F. Lee Abstract In this chapter we introduce the
application of the characteristic function in financial research. We consider the
technique of the characteristic function useful for many option pricing models.
Cheng-Few Lee, John Lee, 2010
8
Encyclopaedia of Mathematics (set)
For example, the characteristic function of the Gaussian measure with mean m
and variance a2 is For non-negative integer-valued random variables X one uses
, apart from the characteristic function, also its analogue: the generating function
...
9
A Practical Guide to Heavy Tails: Statistical Techniques and ...
Characteristic Function Based Estimation of Stable Distribution Parameters
Stephen M. Kogon and Douglas B. Williams Abstract This chapter is concerned
with the estimation of stable distribution parameters using the characteristic
function.
Robert Adler, Raya Feldman, Murad Taqqu, 1998
10
Essentials of Stochastic Processes
The
characteristic function <pn(z) of the distribution Nn is given by = exp{i(a,z)- —
where , z)} = </>(z)exp{— — ( <f(z) = exp{i(a, z] - —(Kz, z)}. It is easy to see that as
n — > oo, </>n(z) converges to <£>(z) uniformly on any bounded set of z.
3 NEWS ITEMS WHICH INCLUDE THE TERM «CHARACTERISTIC FUNCTION»
Find out what the national and international press are talking about and how the term
characteristic function is used in the context of the following news items.
Two papers investigate the thermodynamics of quantum systems
... a physics professor at the University of Oxford in the UK and the National University of Singapore; and "Measuring the Characteristic Function ... «Phys.Org, Jul 13»
The Patents of Improvement in Venezuela as an Alternative to …
... cannot function as independent entities, or else they would lose their characteristic function); and inventions that are known nationwide due to their publication ... «Who's Who Legal, May 13»
Computer Security and Statistical Databases
A characteristic function C defines a subset of records (rows) within the database. A query using C provides statistics on the selected subset. «informIT, Aug 07»
