Two-step M-estimators deals with M-estimation problems that require preliminary estimation to obtain the parameter of interest. Two-step M-estimation is...

In statistics, M-estimators are a broad class of extremum estimators for which the objective function is a sample average. Both non-linear least squares...

two-step M-estimator and thus consistency and asymptotic normality of the estimator can be verified using the general theory of two-step M-estimator....

generalized, by Heckman and by others. The Heckman correction is a two-step M-estimator where the covariance matrix generated by OLS estimation of the second...

can be solved analytically; for instance, the ordinary least squares estimator for a linear regression model maximizes the likelihood when the random...

Spearman's rank correlation coefficient estimator, to give a sequential Spearman's correlation estimator. This estimator is phrased in terms of linear algebra...

method demonstrated a better performance than the traditional two-step GMM: the estimator has smaller median bias (although fatter tails), and the J-test...

The ratio estimator is a statistical estimator for the ratio of means of two random variables. Ratio estimates are biased and corrections must be made...

{\displaystyle X} has two defining parameters, its mean μ {\displaystyle \mu } and variance σ 2 {\displaystyle \sigma ^{2}} . A variance estimator: s 2 = ∑ i =...

is the root mean squared error (RMSE) (note that RMSE2 is a consistent estimator of the true variance of the error term, σ 2 {\displaystyle \sigma ^{2}}...

25% midsummary; it is an L-estimator. MH ⁡ ( X ) = Q 1 , 3 ( X ) ¯ = Q 1 ( X ) + Q 3 ( X ) 2 = P 25 ( X ) + P 75 ( X ) 2 = M 25 ( X ) {\displaystyle \operatorname...

square error (MMSE) estimator is an estimation method which minimizes the mean square error (MSE), which is a common measure of estimator quality, of the...

the estimators, but cost savings may make such an increase in sample size feasible. For the organization of a population census, the first step is usually...

{p}}={\frac {x}{n}}.} This estimator is found using maximum likelihood estimator and also the method of moments. This estimator is unbiased and uniformly...

In target tracking, the multi-fractional order estimator (MFOE) is an alternative to the Kalman filter. The MFOE is focused strictly on simple and pragmatic...

parameters. The innovation estimator can be classified as a M-estimator, a quasi-maximum likelihood estimator or a prediction error estimator depending on the inferential...

Bootstrapping is a procedure for estimating the distribution of an estimator by resampling (often with replacement) one's data or a model estimated from...

Horvitz–Thompson estimator, also called the π {\displaystyle \pi } -estimator. This estimator can be itself estimated using the pwr-estimator (i.e.: p {\displaystyle...

\quad } therefore r is a biased estimator of ρ . {\displaystyle \rho .} The unique minimum variance unbiased estimator radj is given by where: r , n {\displaystyle...

unbiased estimator (UMVUE) for the maximum is: b ^ UMVU = k + 1 k m = m + m k , {\displaystyle {\hat {b}}_{\text{UMVU}}={\frac {k+1}{k}}m=m+{\frac {m}{k}}...

statistical criterion, which is related to the variance-matrix of the estimator. Specifying an appropriate model and specifying a suitable criterion function...

matrix. The sample covariance matrix (SCM) is an unbiased and efficient estimator of the covariance matrix if the space of covariance matrices is viewed...

asymptotic properties of the two definitions that are given above are the same. By the strong law of large numbers, the estimator F ^ n ( t ) {\displaystyle...

making PCR a kind of regularized procedure and also a type of shrinkage estimator. Often the principal components with higher variances (the ones based...

distribution. Gauss used M, M′, M′′, ... to denote the measurements of some unknown quantity V, and sought the most probable estimator of that quantity: the...

Several estimators belong to this class: κ=0: OLS κ=1: 2SLS. Note indeed that in this case, I − κ M = I − M = P {\displaystyle I-\kappa M=I-M=P} the usual...

correlation integral is used to estimate the correlation dimension. An estimator of the correlation integral is the correlation sum: C ( ε ) = 1 N 2 ∑...

parameter value under the null hypothesis. Intuitively, if the restricted estimator is near the maximum of the likelihood function, the score should not differ...

parameters, and a maximization (M) step, which computes parameters maximizing the expected log-likelihood found on the E step. These parameter-estimates are...

_{n}).} Here H ( θ , X ) {\displaystyle H(\theta ,X)} is an unbiased estimator of ∇ g ( θ ) {\displaystyle \nabla g(\theta )} . If X {\displaystyle X}...