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Probability distribution
probability theory, an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the sum of two or more
Indecomposable_distribution
P=P_{1}\otimes P_{2}} where P1 is a probability distribution without any indecomposable factor and P2 is a distribution that is either degenerate or is representable
Khinchin's theorem on the factorization of distributions
Khinchin's_theorem_on_the_factorization_of_distributions
Probability distribution
probability distributions are indecomposable. Golomb coding is the optimal prefix code[clarification needed] for the geometric discrete distribution. The sum
Geometric_distribution
Topics referred to by the same term
mathematics: Indecomposable module, in algebra Indecomposable distribution, in probability Indecomposable continuum, in topology Indecomposability (intuitionistic
Indecomposability
Imputation (statistics) Incidence (epidemiology) Increasing process Indecomposable distribution Independence of irrelevant alternatives Independent component
List_of_statistics_articles
Concept in philosophy and mathematics
every element is an arbitrary multiple of some other element Indecomposable distribution Salami slicing Zeno's paradoxes https://ncert.nic.in/ncerts/l/iesc103
Infinite_divisibility
When the linear combination of a random variable with itself has the same distribution
maximum is available by a simple extension. Infinite divisibility Indecomposable distribution Lukacs, E. (1970) Section 5.7 Feller (1971), Section VI.1 Feller
Stability_(probability)
correction Heavy-tailed distribution Truncated distribution Infinite divisibility Stability (probability) Indecomposable distribution Power law Anderson's
List_of_probability_topics
Poisson distribution μ = e ( F ) {\displaystyle \mu =e(F)} are also generalized Poisson distributions, i.e., μ {\displaystyle \mu } has no indecomposable factors
Generalized Poisson distribution on a locally compact Abelian group
Generalized_Poisson_distribution_on_a_locally_compact_Abelian_group
lemma / (12:C) Truncated distribution / (1:C) Tsallis entropy / (1:DC) Heavy-tailed distribution / (1:R) Indecomposable distribution / (1:BDCR) Infinite divisibility /
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Indian statistician (1936–2023)
Ranga Rao, R., & Varadhan, S. R. S. (1962). On the category of indecomposable distributions on topological groups. Transactions of the American Mathematical
K. R. Parthasarathy (probabilist)
K._R._Parthasarathy_(probabilist)
Concept in functional analysis
{\displaystyle X,} indecomposable Banach spaces are prime. The most well-known example of indecomposable spaces are in fact hereditarily indecomposable, which means
Complemented_subspace
Branch of mathematics
appropriate category, and P consists of all isomorphism classes of indecomposable objects, i.e. objects which cannot be decomposed as a direct product
Abstract analytic number theory
Abstract_analytic_number_theory
Number divisible only by 1 and itself
branches of mathematics. Generally, "prime" indicates minimality or indecomposability, in an appropriate sense. For example, the prime field of a given
Prime_number
Integer side lengths of a right triangle
from the hypotenuse; that is, every primitive Pythagorean triangle is indecomposable. The set of all primitive Pythagorean triples forms a rooted ternary
Pythagorean_triple
Estimates values in an N-dimensional matrix
p_{i}^{(0)}=1} , ∀ i {\displaystyle i} . If the matrix Z {\displaystyle Z} is “indecomposable”, then this process has a unique fixed-point because it is deduced from
Iterative proportional fitting
Iterative_proportional_fitting
Analysis of datasets using techniques from topology
{\displaystyle \rho _{s}^{t}} is the identity map. Interval modules are indecomposable. Although the result of Crawley-Boevey is a very powerful theorem, it
Topological_data_analysis
Fraction with denominator a power of two
into this product. It is an example of a protorus, a solenoid, and an indecomposable continuum. Because they are a dense subset of the real numbers, the
Dyadic_rational
British-Lebanese mathematician (1929–2019)
bundle is a sum of (essentially unique) indecomposable vector bundles, and then showing that the space of indecomposable vector bundles of given degree and
Michael_Atiyah
Normed vector space that is complete
Hilbert space. An infinite-dimensional Banach space is hereditarily indecomposable when no subspace of it can be isomorphic to the direct sum of two infinite-dimensional
Banach_space
{\displaystyle \operatorname {Hom} (V,W)=V^{*}\otimes W} . indecomposable An indecomposable representation is a representation that is not a direct sum
Glossary of representation theory
Glossary_of_representation_theory
INDECOMPOSABLE DISTRIBUTION
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INDECOMPOSABLE DISTRIBUTION