Question
What is the underlying idea behind the logit model? Explain how the parameters of the logit model can be estimated by maximum likelihood method.
Answer :
Word Count : 1103
The logit model is one of the most widely used models in econometrics to analyze situations where the dependent variable is binary, meaning it can only take two possible outcomes such as success or failure, yes or no, employed or unemployed, and so on. The underlying idea behind the logit model is that the probability of the dependent variable taking a certain value can be expressed as a non-linear function of a linear combination of explanatory variables. Ordinary linear regression is not appropriate for such problems because it can predict probabilities outside the \[0,1] interval and because the variance of the error terms is heteroskedastic. The logit model resolves this by using a logistic cumulative distribution function to link the explanatory variables to the probability outcome, ensuring that the predicted values always lie within the unit interval. The model begins with the specification of a latent variable framework. Suppose we have an unobservable continuous latent variable $y_i^*$ that depends linearly on a set of covariates: $$ y_i^* = X_i \beta + u_i, $$ where $X_i$ is the vector of explanatory variables, $\beta$ is ________ __________ ____ ________ _____ _______.
________ ____ __________ _____ ___ _____ _______ _________ ____ ________.
________ ____ ___ ______ ______ ____ _________ __________ ______.
___ ________ _______ __________ ___ _____ _____ _______ __________ __________.
_________ _____ _______ ________ ______ ______ _______ _____ _________ ____.
____ _________ ____ _______ ___ ________ ________ ______.
____ ______ ________ ____ ___.
__________ _____ ______ ______ ______ __________ _____ _________ ____.
___ ________ __________ _____ _____ ______ ____ ____ ____ ____ _______.
_________ ___ ______ ___ _______ _________ _________ _______ ______.
____ ___ __________ _______ _________ _____ ___ _____ _____ ____ __________.
__________ __________ ______ ___ _____ ________ ___ _______ ____.
______ ________ _________ __________ _____ ________ __________ _________ _____ _________.
_____ ________ _______ _________ ______ _____.
___ ___ ________ ______ __________ _______ ___ __________.
_______ ______ ___ ________ ___ __________ ____ ________ ___ ________ ______ _____.
______ ______ ______ __________ ____ ________ _______.
________ _______ _____ ___ _____ ____ ______ _________.
_____ ______ ________ ______ _____ ________ ____ ___ _______ __________ _________.
_______ ____ _____ _________ _________ __________ _____ _________.
____ _______ __________ ____ ______ ____ ________ __________ ________ ___.
_____ ______ ___ ____ _________ _________.
________ __________ _________ _______ _____ ___ ________ _______ ____.
_______ _________ _____ ________ _______ _________ _____ _____ ______.
________ ___ ______ _________ _________ ___ _______.
____ _________ __________ ___ ___ ________ _______ ____.
______ _______ __________ ____ _________ ____.
___ _____ __________ ____ ______ ___ _____.
_____ ____ ______ ___ ____.
_____ ______ ________ _________ __________ _______ ___ _________ _____ ____ __________.
_________ _______ __________ _____ ____.
_______ _________ _______ _________ ________ _____ _________ __________ ___ __________ _____.
_________ _______ _______ _______ _____ ____ __________ _________ _________ ________ _________ _______.
____ ____ ___ __________ _____ ____ ____ ____ _________ ___.
_____ ____ _____ ____ __________ ____ ___ ____ _____ _________ ________ _________.
_________ _____ __________ _____ ____ ______ ______ __________ ___ _____ _______.
________ __________ ____ ________ _________ ______ ____ ____.
__________ _________ ________ ______ _______ ______ ______ _______ ____ _________.
________ ___ ________ ______ _____ ___ _________ _____ _____ _________.
________ _______ _____ ________ ___ ___ ___ ______ ____ _____ _____ ______.
_______ ____ _____ _____ _____.
______ ________ _______ ____ ____ ___ _________ _____ _____ ______ __________ ________.
_______ _____ ____ __________ _____ __________ _______ ________ _______ ________ _______.
________ _________ _____ _____ _______ ____ _________ _______ ____ ____ ______ ________.
____ ________ ______ __________ ____ ___ _____ __________ __________ ___.
________ _____ ___ _______ _________ _______ ______ _______ __________ _________ _____.
____ ___ ________ _________ ___ _________ ___ ___ ____ _________ ________ _____.
_________ ____ _________ ___ _________ ________ ___ _________ _______ _________.
_____ ________ ___ _______ _____.
____ ______ ____ ___ ______ ________ ___ _________ ___ ________.
____ ________ __________ _________ ___ _____ __________ _____ ____ _______ _______.
_________ __________ _________ __________ _____ _________ _______ _______.
______ ____ _________ _____ __________ ________ ______ _____ ___ ________.
_________ ____ ________ _______ __________ _____ ________ __________ __________ __________.
_____ ______ ______ ____ __________ _____.
_________ __________ __________ __________ _________.
_________ ________ ____ __________ __________ ________ _________ _______.
________ ____ ______ ______ ________.
____ ____ __________ _____ ________ _______ ____ _________.
__________ ________ ___ ______ _________ ____ __________.
___ ______ ______ _______ ________ ______ _________ _________.
____ ____ ________ ___ ___ ______ ___ __________ ___ __________.
______ ________ ______ __________ _________ _________ __________ ____.
____ _____ _________ _______ __________ _______.
_________ _____ _____ _________ ____ _______ ___ _________ _______ _________ _____ ____.
__________ ________ ______ ________ ______ _______.
_______ _______ _______ _____ _________ _______ __________ __________ _________ ____ ___.
________ __________ _______ _______ ___ _____ ______.
____ _____ _____ _______ ______ __________ __________ _________ _______.
____ ____ ______ __________ __________ ________ _________ _____ ____ ______ ______.
_______ _________ __________ ______ _______ __________ ____.
_____ _____ ______ _____ _______ ____ __________ ________ ___.
_________ __________ _________ ____ _______ _____ __________.
__________ ________ _______ ________ __________.
___ ______ ________ ________ __________ _________.
___ ________ ______ _____ _____ ________ ____ _______ _____ ____.
______ ____ ______ _______ ___ _______ _______ __________.
_________ ___ __________ __________ __________ ____ _______ _______ __________ ________ ________.
________ ___ _____ _________ _________ ___ _____ _________ ______ _____ _______.
____ ___ ______ ________ _______ ______ _________ __________ ______ ______.
_______ __________ ____ _____ _____ _____ ______ ___ __________ _________ _____ _________.
_____ __________ _____ ___ ___.
__________ ___ _______ ___ ______ _______ _______ ____ ______.
________ _______ _____ _________ ___ _________ __________ _________.
__________ _____ ___ ________ __________ _______.
_____ _______ __________ _______ __________ ________.
_______ _____ ___ __________ ___ ________ __________ _____ __________ ________.
_________ ___ ____ _________ ___ ______ __________ ________ _____ __________ _______.
____ ______ ___ ___ ____ ___ _________ _______.
_________ __________ _____ _____ ____ ______ _________ _____.
____ _________ ________ ___ _________ ________ ___ _____ ______ __________ ________ ____.
_________ ________ _____ ____ ______ __________ ________.
_______ ________ _____ _________ _________ ___ ______ ___ _________ ___ _______.
_________ _____ _____ ____ __________.
_____ ________ ______ _______ __________ __________ ________.
____ ___ _________ _________ __________ ___ __________ _______ _____ ____ ___ ______.
________ ______ _____ _____ ____ _________ ______.
_______ ___ ______ __________ _______ __________ __________ _____ ______.
________ _____ ______ _____ ______.
_____ ______ ____ ____ ___ ___ ___ __________ ______ _____ _______.
____ ______ ____ __________ ______ ____ __________.
_______ _________ ____ ___ _____.
_______ __________ ____ ___ ____ ___ ______ ______ __________.
_______ ______ _____ ____ ____ ______ ______ ______.
_______ ________ _________ __________ _____ ________ _____ ___ _________ _________ _________.
_______ _____ _______ ____ _________ _____ ________.
Get Full Answer on WhatsApp
The logit model is one of the most widely used models in econometrics to analyze situations where the dependent variable is binary, meaning it can only take two possible outcomes such as success or failure, yes or no, employed or unemployed, and so on. The underlying idea behind the logit model is that the probability of the dependent variable taking a certain value can be expressed as a non-linear function of a linear combination of explanatory variables. Ordinary linear regression is not appropriate for such problems because it can predict probabilities outside the \[0,1] interval and because the variance of the error terms is heteroskedastic. The logit model resolves this by using a logistic cumulative distribution function to link the explanatory variables to the probability outcome, ensuring that the predicted values always lie within the unit interval. The model begins with the specification of a latent variable framework. Suppose we have an unobservable continuous latent variable $y_i^*$ that depends linearly on a set of covariates: $$ y_i^* = X_i \beta + u_i, $$ where $X_i$ is the vector of explanatory variables, $\beta$ is ________ __________ ____ ________ _____ _______.
________ ____ __________ _____ ___ _____ _______ _________ ____ ________.
________ ____ ___ ______ ______ ____ _________ __________ ______.
___ ________ _______ __________ ___ _____ _____ _______ __________ __________.
_________ _____ _______ ________ ______ ______ _______ _____ _________ ____.
____ _________ ____ _______ ___ ________ ________ ______.
____ ______ ________ ____ ___.
__________ _____ ______ ______ ______ __________ _____ _________ ____.
___ ________ __________ _____ _____ ______ ____ ____ ____ ____ _______.
_________ ___ ______ ___ _______ _________ _________ _______ ______.
____ ___ __________ _______ _________ _____ ___ _____ _____ ____ __________.
__________ __________ ______ ___ _____ ________ ___ _______ ____.
______ ________ _________ __________ _____ ________ __________ _________ _____ _________.
_____ ________ _______ _________ ______ _____.
___ ___ ________ ______ __________ _______ ___ __________.
_______ ______ ___ ________ ___ __________ ____ ________ ___ ________ ______ _____.
______ ______ ______ __________ ____ ________ _______.
________ _______ _____ ___ _____ ____ ______ _________.
_____ ______ ________ ______ _____ ________ ____ ___ _______ __________ _________.
_______ ____ _____ _________ _________ __________ _____ _________.
____ _______ __________ ____ ______ ____ ________ __________ ________ ___.
_____ ______ ___ ____ _________ _________.
________ __________ _________ _______ _____ ___ ________ _______ ____.
_______ _________ _____ ________ _______ _________ _____ _____ ______.
________ ___ ______ _________ _________ ___ _______.
____ _________ __________ ___ ___ ________ _______ ____.
______ _______ __________ ____ _________ ____.
___ _____ __________ ____ ______ ___ _____.
_____ ____ ______ ___ ____.
_____ ______ ________ _________ __________ _______ ___ _________ _____ ____ __________.
_________ _______ __________ _____ ____.
_______ _________ _______ _________ ________ _____ _________ __________ ___ __________ _____.
_________ _______ _______ _______ _____ ____ __________ _________ _________ ________ _________ _______.
____ ____ ___ __________ _____ ____ ____ ____ _________ ___.
_____ ____ _____ ____ __________ ____ ___ ____ _____ _________ ________ _________.
_________ _____ __________ _____ ____ ______ ______ __________ ___ _____ _______.
________ __________ ____ ________ _________ ______ ____ ____.
__________ _________ ________ ______ _______ ______ ______ _______ ____ _________.
________ ___ ________ ______ _____ ___ _________ _____ _____ _________.
________ _______ _____ ________ ___ ___ ___ ______ ____ _____ _____ ______.
_______ ____ _____ _____ _____.
______ ________ _______ ____ ____ ___ _________ _____ _____ ______ __________ ________.
_______ _____ ____ __________ _____ __________ _______ ________ _______ ________ _______.
________ _________ _____ _____ _______ ____ _________ _______ ____ ____ ______ ________.
____ ________ ______ __________ ____ ___ _____ __________ __________ ___.
________ _____ ___ _______ _________ _______ ______ _______ __________ _________ _____.
____ ___ ________ _________ ___ _________ ___ ___ ____ _________ ________ _____.
_________ ____ _________ ___ _________ ________ ___ _________ _______ _________.
_____ ________ ___ _______ _____.
____ ______ ____ ___ ______ ________ ___ _________ ___ ________.
____ ________ __________ _________ ___ _____ __________ _____ ____ _______ _______.
_________ __________ _________ __________ _____ _________ _______ _______.
______ ____ _________ _____ __________ ________ ______ _____ ___ ________.
_________ ____ ________ _______ __________ _____ ________ __________ __________ __________.
_____ ______ ______ ____ __________ _____.
_________ __________ __________ __________ _________.
_________ ________ ____ __________ __________ ________ _________ _______.
________ ____ ______ ______ ________.
____ ____ __________ _____ ________ _______ ____ _________.
__________ ________ ___ ______ _________ ____ __________.
___ ______ ______ _______ ________ ______ _________ _________.
____ ____ ________ ___ ___ ______ ___ __________ ___ __________.
______ ________ ______ __________ _________ _________ __________ ____.
____ _____ _________ _______ __________ _______.
_________ _____ _____ _________ ____ _______ ___ _________ _______ _________ _____ ____.
__________ ________ ______ ________ ______ _______.
_______ _______ _______ _____ _________ _______ __________ __________ _________ ____ ___.
________ __________ _______ _______ ___ _____ ______.
____ _____ _____ _______ ______ __________ __________ _________ _______.
____ ____ ______ __________ __________ ________ _________ _____ ____ ______ ______.
_______ _________ __________ ______ _______ __________ ____.
_____ _____ ______ _____ _______ ____ __________ ________ ___.
_________ __________ _________ ____ _______ _____ __________.
__________ ________ _______ ________ __________.
___ ______ ________ ________ __________ _________.
___ ________ ______ _____ _____ ________ ____ _______ _____ ____.
______ ____ ______ _______ ___ _______ _______ __________.
_________ ___ __________ __________ __________ ____ _______ _______ __________ ________ ________.
________ ___ _____ _________ _________ ___ _____ _________ ______ _____ _______.
____ ___ ______ ________ _______ ______ _________ __________ ______ ______.
_______ __________ ____ _____ _____ _____ ______ ___ __________ _________ _____ _________.
_____ __________ _____ ___ ___.
__________ ___ _______ ___ ______ _______ _______ ____ ______.
________ _______ _____ _________ ___ _________ __________ _________.
__________ _____ ___ ________ __________ _______.
_____ _______ __________ _______ __________ ________.
_______ _____ ___ __________ ___ ________ __________ _____ __________ ________.
_________ ___ ____ _________ ___ ______ __________ ________ _____ __________ _______.
____ ______ ___ ___ ____ ___ _________ _______.
_________ __________ _____ _____ ____ ______ _________ _____.
____ _________ ________ ___ _________ ________ ___ _____ ______ __________ ________ ____.
_________ ________ _____ ____ ______ __________ ________.
_______ ________ _____ _________ _________ ___ ______ ___ _________ ___ _______.
_________ _____ _____ ____ __________.
_____ ________ ______ _______ __________ __________ ________.
____ ___ _________ _________ __________ ___ __________ _______ _____ ____ ___ ______.
________ ______ _____ _____ ____ _________ ______.
_______ ___ ______ __________ _______ __________ __________ _____ ______.
________ _____ ______ _____ ______.
_____ ______ ____ ____ ___ ___ ___ __________ ______ _____ _______.
____ ______ ____ __________ ______ ____ __________.
_______ _________ ____ ___ _____.
_______ __________ ____ ___ ____ ___ ______ ______ __________.
_______ ______ _____ ____ ____ ______ ______ ______.
_______ ________ _________ __________ _____ ________ _____ ___ _________ _________ _________.
_______ _____ _______ ____ _________ _____ ________.
Get Full Answer on WhatsApp
Related Questions
What is meant by identification problem in a simultaneous equation model?
Distinguish between weak stationarity and strong stationarity. Explain the methods of testing for stationarity in a univariate time series model.
In the following two-equation system check the identification status of both the equations.
निम्नलिखित द्वि-समीकरण प्रणाली में दोनों समीकरणों की अभिनिर्धारण प्रस्थिति की जाँच कीजिए
Y₁ =x+az Y₂ + B22+22 Y₂ = β₂ + β2Y+B4Z+BsZ2 + z
What is meant by dynamic model? Explain how the following model can be estimated?
y_t = α + βx_t + γy_{t-1} + u_t
where |γ| < 1 and u_t = ρ u_{t-1} + ε_t. In the above model ε_t is the usual stochastic error term with mean zero and variance σ^2 and |ρ| < 1.
What is meant by identification problem in a simultaneous equation model?
Justify the need for Autoregressive Conditional Heteroscedasticity (ARCH) model. Explain how you would carry out a test for ARCH effect in a data set.
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★