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Product Differentiation - University of Virginia
Product Differentiation - University of Virginia

... equilibrium) by cutting prices. Incumbents may earn substantially higher gross profits than the cost of entry that would be incurred by an entrant. There are then multiple equilibria. These range from the tightest packing at which incumbents just earn zero profits (and so are not induced to exit), t ...
Structural Equation Modeling: Categorical Variables
Structural Equation Modeling: Categorical Variables

... possibly mean vector) of the observed responses. Instead, the likelihood must be obtained by somehow ‘integrating out’ the latent variables η j . Approaches which work well but are computationally demanding include adaptive Gaussian quadrature [10] implemented in gllamm [8] and Markov Chain Monte Ca ...


... When and why do we use logistic regression? – Binary – Multinomial ...
9 Generalized Linear Models
9 Generalized Linear Models

... The random component identifies the response variable Y and gives the distribution of Y • For a multiple linear regression model the distribution of Y is normal. • We will study GLMs for binary outcomes (success/failure) and outcomes resulting from counting. In such cases it is not meaningful to ass ...
Logistic Regression - Virgil Zeigler-Hill
Logistic Regression - Virgil Zeigler-Hill

... When and why do we use logistic regression? – Binary – Multinomial ...
pseudo-r2 in logistic regression model
pseudo-r2 in logistic regression model

... BO HU, JUN SHAO AND MARI PALTA ...
14 LOGISTICS REGRESSION FOR SAMPLE SURVEYS
14 LOGISTICS REGRESSION FOR SAMPLE SURVEYS

... complex sample design. This write up discusses the logistic regression model for sample survey data. Any analysis that ignores the sample design and the weights must be based on assumptions. If the sample is designed to generate equal probability sample, then the weights for estimating means, rates, ...
Talking about probability: approximately optimal
Talking about probability: approximately optimal

... for A’s winning at .4, the acceptability of the target statement increases as n increases (detailed descriptive statistics omitted for abstract). The figure also shows the predictions of two parameterized models. One takes the expected approximately optimal thresholds from the figure above as input, ...
View/Open
View/Open

stress-testing models
stress-testing models

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... Eq. (3) exemplifies a finite lag distribution. The entire process is exhausted in the course of a a finite number of periods, K +1. We loose K observations when we form the lags. Estimating (3) by OLS involves estimating K + 2 coefficients (α, β0 , β1 , . . . , βK ) from T − K observations. The numb ...
OLS assumption(unbiasedness) An estimator, x, is an unbiased
OLS assumption(unbiasedness) An estimator, x, is an unbiased

... (Miller and Volker 1985), this depends on researchers’ theoretical questions and their purposes. Second, though the response values have ordinal meaning among themselves, we cannot say a subject receiving 2 is twice more something than a subject receiving 1 on its response value, because the distanc ...
Prof. Halpern's notes
Prof. Halpern's notes

... Acts f and g are comonotonic if there do not exist states s and t such that f (s)  f (t) and g(t)  g(s) • f and g are comonotonic if you can’t be happier to be in state s than state t when doing f and be happier to be in state t than state s when doing g. • If h is a constant act, then f and h are ...
Student Number:
Student Number:

Managerial Decision Making
Managerial Decision Making

... be ~67. Therefore, 67 will wind up being the mean and my choice is approx 2/3 of 67. ƒ “Average depends on what you think other students will input. The more they "get it" the lower the number will be driven. ƒ “The rational number is something like 0. However, I'll assume people will only use, on a ...
Other Portfolio Selection Models
Other Portfolio Selection Models

Regression with limited dependent variables
Regression with limited dependent variables

... this is a linear regression model Yi = b0 + b1 X 1i + ....bK X Ki + ei Pr(Yi = 1 X 1i ,...., X Ki ) = b0 + b1 X 1i + ....bK X Ki b1 is the change in the probability that Y = 1 associated with a unit change in X 1 , holding constant X 2 .... X K , etc This can be estimated by OLS but Note that since ...
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... generic. The log likelihood function will determined by the assumptions concerning how we determine Pr(yi=1) ...
CCDC 23 - A Guide to Calling Bids and Awarding
CCDC 23 - A Guide to Calling Bids and Awarding

... the Work of the Contract and the Contract Price will reflect the alternatives and alternative prices, if any, accepted by the Owner at the time of contract award, and ...
Logistic Regression
Logistic Regression

... belonging to group 1 by using the above transformation. It should be fairly easy to see that the right hand side of equation 12.6 can only yield values that are between 0 and 1. The Algorithm While Linear models use the Ordinary Least Squares (OLS) estimation of coefficients, Logistic regression use ...
MS Powerpoint
MS Powerpoint

... • A married individual can divorce and therefore experience the event of interest • However a married individual can die and therefore is no longer at risk to divorce • Both divorce and death are “competing” events since any individual is at risk to both events happening ...
Selectivity Estimation using Probabilistic Models
Selectivity Estimation using Probabilistic Models

Predicting the Probability of Being a Smoker: A Probit Analysis
Predicting the Probability of Being a Smoker: A Probit Analysis

... The variables β and σ are not identified; however, δ = σ −1 β is identified. Using this fact, the log-likelihood function for the binary choice model is: ...
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Applied Logistic Regression:
Applied Logistic Regression:

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Discrete choice

In economics, discrete choice models, or qualitative choice models, describe, explain, and predict choices between two or more discrete alternatives, such as entering or not entering the labor market, or choosing between modes of transport. Such choices contrast with standard consumption models in which the quantity of each good consumed is assumed to be a continuous variable. In the continuous case, calculus methods (e.g. first-order conditions) can be used to determine the optimum amount chosen, and demand can be modeled empirically using regression analysis. On the other hand, discrete choice analysis examines situations in which the potential outcomes are discrete, such that the optimum is not characterized by standard first-order conditions. Thus, instead of examining “how much” as in problems with continuous choice variables, discrete choice analysis examines “which one.” However, discrete choice analysis can also be used to examine the chosen quantity when only a few distinct quantities must be chosen from, such as the number of vehicles a household chooses to own and the number of minutes of telecommunications service a customer decides to purchase. Techniques such as logistic regression and probit regression can be used for empirical analysis of discrete choice.Discrete choice models theoretically or empirically model choices made by people among a finite set of alternatives. The models have been used to examine, e.g., the choice of which car to buy, where to go to college, which mode of transport (car, bus, rail) to take to work among numerous other applications. Discrete choice models are also used to examine choices by organizations, such as firms or government agencies. In the discussion below, the decision-making unit is assumed to be a person, though the concepts are applicable more generally. Daniel McFadden won the Nobel prize in 2000 for his pioneering work in developing the theoretical basis for discrete choice.Discrete choice models statistically relate the choice made by each person to the attributes of the person and the attributes of the alternatives available to the person. For example, the choice of which car a person buys is statistically related to the person’s income and age as well as to price, fuel efficiency, size, and other attributes of each available car. The models estimate the probability that a person chooses a particular alternative. The models are often used to forecast how people’s choices will change under changes in demographics and/or attributes of the alternatives.Discrete choice models specify the probability that an individual chooses an option among a set of alternatives. The probabilistic description of discrete choice behavior is used not to reflect individual behavior that is viewed as intrinsically probabilistic. Rather, it is the lack of information that leads us to describe choice in a probabilistic fashion. In practice, we cannot know all factors affecting individual choice decisions as their determinants are partially observed or imperfectly measured. Therefore, discrete choice models rely on stochastic assumptions and specifications to account for unobserved factors related to a) choice alternatives, b) taste variation over people (interpersonal heterogeneity) and over time (intra-individual choice dynamics), and c) heterogeneous choice sets. The different formulations have been summarized and classified into groups of models.
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