is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. An ancillary statistic has the same distribution...

a statistic computed on a sample dataset in relation to a parametric model of the dataset. It is opposed to the concept of an ancillary statistic. While...

to the concepts of an ancillary statistic which contains no information about the model parameters, and of a complete statistic which only contains information...

variance, the t-statistic of a future observation X n + 1 , {\displaystyle X_{n+1},} after one has made n observations, is an ancillary statistic – a pivotal...

distribution must not. If it is a statistic, then it is known as an ancillary statistic. More formally, let X = ( X 1 , X 2 , … , X n ) {\displaystyle X=(X_{1}...

states that any boundedly complete and sufficient statistic is independent of any ancillary statistic. This is a 1955 result of Debabrata Basu. It is often...

dependent on the values of the parameters. An ancillary statistic is such a function that is also a statistic, meaning that it is computed in terms of the...

a pivotal quantity, depending only on observables, is called an ancillary statistic. The usual method of constructing pivotal quantities is to take the...

property. They argue that the marginal success total is an (almost) ancillary statistic, containing (almost) no information about the tested property. The...

descriptive statistics. Two elementary summaries of data, singularly called a statistic, are the mean and dispersion. Whereas inferential statistics interprets...

statistics. The concept of an ancillary statistic and the notion (the ancillarity principle) that one should condition on ancillary statistics. Fisher married...

maximum-likelihood estimator in one-parameter families in the presence of an ancillary statistic that affects the precision of the MLE. Lindsay and Li showed that...

SQL Statistical inference Mathematical statistics Likelihood function Exponential family Fisher information Sufficient statistic Ancillary statistic Minimal...

E_{h}\ ;} the index   h   {\displaystyle \ h\ } is some ancillary statistic, i.e. a statistic whose probability distribution does not depend on any unknown...

Student's t-distribution with (n − 1) degrees of freedom, and it is an ancillary statistic (independent of the value of the parameters). Inverting the distribution...

Analysis of variance Analytic and enumerative statistical studies Ancestral graph Anchor test Ancillary statistic ANCOVA – redirects to Analysis of covariance...

sampling. In statistical theory, Basu's theorem established the independence of a complete sufficient statistic and an ancillary statistic. Basu was associated...

statistical inference, although they express a more generalized notion of conditionality which do not require the existence of an ancillary statistic...

conditional distribution of the maximum likelihood estimator given an ancillary statistic that generalizes a formula by Ronald A. Fisher (originally called...

Basu (1955) states that any complete sufficient statistic is independent of any ancillary statistic. Kosambi–Karhunen–Loève theorem (also known as the...

normal distribution Gosset proposed, and “Student’s t-statistic” – referring to the test statistic used in measuring the departure of the estimated value...

Basu (1955) states that any complete sufficient statistic is independent of any ancillary statistic. Visceral leishmaniasis, treatment of: The Indian...

nuisance parameter(s) by conditioning on both margins, an approximately ancillary statistic that constrains the possible outcomes. The problem with that Fisher's...

The subdivisions of Portugal are based on a complicated administrative structure. The second-level administrative division, after the 7 regions and 2 autonomous...

the conditional expectation of g(X) given T(X), where T is a sufficient statistic, is typically a better estimator of θ, and is never worse. Sometimes one...

the selection of a subset or a statistical sample (termed sample for short) of individuals from within a statistical population to estimate characteristics...

media, music, broadcasting, radio, book publishing, video games, and ancillary services and products was worth US$1.72 trillion in 2015, $1.9 trillion...

depiction of Nike, and it is certain that the bull-killing symbolism and the ancillary elements together tell a story (i.e. the cult myth, the cult's mystery...

cultivators and producers, consumers, independent industrial standards bodies, ancillary products and services, regulators and researchers concerning cannabis...

governments, not the federal government. Although such matters are usually ancillary or consequential to the dissolution of the marriage, divorce may also...