Linear regression with special coefficient features attained via parameterization in exponential, logistic, and multinomial–logit forms
نویسندگان
چکیده
منابع مشابه
Linear regression with special coefficient features attained via parameterization in exponential, logistic, and multinomial-logit forms
Multiple linear regression with special properties of its coefficients parameterized by exponent, logit, and multinomial functions is considered. To obtain always positive coefficients the exponential parameterization is applied. To get coefficients in an assigned range, the logistic parameterization is used. Such coefficients permit us to evaluate the impact of individual predictors in the mod...
متن کاملExponential Language Models , Logistic Regression
In this paper, we modify the traditional trigram model by using utterance-level semantic coherence features in an exponential model. The semantic coherence features are collected by measuring the correlations among content-word pairs occurring in sentences of two corpora , the real corpus and a corpus generated by the baseline trigram model. The measure we use for estimating the semantic associ...
متن کاملThe sign of the logistic regression coefficient
Let Y be a binary random variable and X a scalar. Let β̂ be the maximum likelihood estimate of the slope in a logistic regression of Y on X with intercept. Further let x̄0 and x̄1 be the average of sample x values for cases with y = 0 and y = 1, respectively. Then under a condition that rules out separable predictors, we show that sign(β̂) = sign(x̄1− x̄0). More generally, if xi are vector valued the...
متن کاملSparse Logistic Regression with Logical Features
Modeling interactions in regression models poses both computational as well as statistical challenges: the computational resources and the amount of data required to solve them increases sharply with the size of the problem. We focus on logistic regression with categorical variables and propose a method for learning dependencies that are expressed as general Boolean formulas. The computational ...
متن کاملSpecial restrictions in multinomial logistic regression
This paper describes two Stata programs, mclgen and mclest, for imposing special restrictions on multinomial logistic models. MCL stands for Multinomial Conditional Logit, a term coined by Breen (1994). An MCL model uses a conditional logit program to estimate a multinomial logistic model. This produces the same log likelihood, estimates and standard errors, but allows greater flexibility in im...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2009
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2008.11.013