A Linear Model of ULAE

Jul 22, 2012

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2. Outline. Schedule-P Origin of Simple MethodRefined MethodStatistical Model. 3. ULAE/A

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A Linear Model of ULAE

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Multiple Linear Regression, General Linear Model, & Generalized Linear Model

Multiple Linear Regression, General Linear Model, & Generalized Linear Model. With Thanks to My Students in AMS 572: Data Analysis. Outline. 1. Introduction to Multiple Linear Regression 2. Statistical Inference 3. Topics in Regression Modeling 4. Example 5. Variable Selection Methods

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The General Linear Model

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General Linear Model

General Linear Model. Beatriz Calvo Davina Bristow. Overview. Summary of regression Matrix formulation of multiple regression Introduce GLM Parameter Estimation Residual sum of squares GLM and fMRI fMRI model Linear Time Series Design Matrix Parameter estimation Summary.

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General Linear Model

General Linear Model. Recall Dummy Coding. Dummy coding 0s and 1s k-1 predictors will go into the regression equation leaving out one reference category (e.g. control) Coefficients will be interpreted as change with respect to the reference variable (the one with all zeros)

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General Linear Model

General Linear Model. Generalized Linear Model. Generalized Linear Mixed Model. General Linear Model. Generalized Linear Model. Generalized Linear Mixed Model. GLMM. LMM. Generalized Linear Mixed Model. LMEM. HLM. Multilevel Model. Tagliamonte & Baayen (2012 : 7 of preprint).

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Linear regression model Logarithmic behavior of model

Linear regression model Logarithmic behavior of model. HAMS Technologies www.hams.co.in director@hams.co.in priyank@hams.co.in vivek@hams.co.in. There is a very special property of all linear regression model that

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Linear Model of Consumption

Linear Model of Consumption. Celebration of Learning ! Woot . Woot . 1. List the five parts of the linear model of consumption and explain each in one sentence. . 2. We talked about how each part of the model contributes to global pollution in some way. Give an example for each.

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Generalized Linear Model

Generalized Linear Model. Lucjan Janowski. Faculty of Electrical Engineering, Automatics, Computer Science and Electronics Department of Telecommunications. Agenda. What is AGH doing? A dog problem A solution – variable types How can we model ordinal variables Conclusions Rasch model ?.

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General Linear Model

General Linear Model. General Linear Model. regressors. β 1 β 2 . . . β L. ε 1 ε 2 . . . ε J. Y 1 Y 2 . . . Y J. X 11 … X 1 l … X 1L X 2 1 … X 2 l … X 2 L . . . X J1 … X J l … X JL. =. +. time points. time points. time points. regressors.

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Linear Delay Model

In general the propagation delay of a gate can be written as: d = f + p p is the delay due to intrinsic capacitance. f is the effort delay or stage effort and depends on the complexity and fanout of the gate.

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THE LINEAR CITY: A MODEL OF A SUSTAINABLE CITY?

THE LINEAR CITY: A MODEL OF A SUSTAINABLE CITY?. The linear city was a proposal made by Arturio Soria at the end of the 19th century, to turn Madrid into a more human city , a city which was closer to nature. .

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Linear Model (III)

Linear Model (III). Rong Jin. Announcement. Homework 2 is out and is due 02/05/2004 (next Tuesday) Homework 1 is handed out. Recap: Logistic Regression Model. Assume the inputs and outputs are related in the log linear function Estimate weights: MLE approach. Example: Text Classification.

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Linear Model

Linear Model. - residual or error. Formal Definition. , - observed values of predictor variables (i.e. temperature, precipitation) - observed value of the response variable (i.e. tree height) - y intercept:. General Linear Model. General Linear Model.

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Estimating ULAE Liabilities

Rediscovering and Expanding Kittel’s Approach By: Robert F. Conger and Alejandra Nolibos. Estimating ULAE Liabilities. Alejandra Nolibos April 12, 2005. Discussion Outline. The Problem The Specific Solution — ULAE Ratio Generalized Solution — ULAE Ratio ULAE Reserves — Three Methods

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Finding a Linear Model

Section 2.4. Finding a Linear Model. Example. A company’s profit was $10 million in 2005 and has increased by $3 million per year. Let p be the profit (in millions of dollars) in the year that is t years since 2005. 1. Is there a linear relationship between t and p ?

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XI. Estimation of linear model parameters

XI. Estimation of linear model parameters. XI.A Linear models for designed experiments XI.B Least squares estimation of the expectation parameters in simple linear models XI.C Generalized least squares (GLS) estimation of the expectation parameters in general linear models

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General Linear Model

General Linear Model. With correlated error terms S = s 2 V ≠ s 2 I. The General Linear Model S ≠ s 2 I. Summary. Example. Simple Linear Model where variance is proportional to X 2. Testing and Confidence Intervals. The Model:. can be converted to the model. Thus.

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Linear Statistical Model

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Linear Model Application

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XI. Estimation of linear model parameters

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General Linear Model

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Finding a Linear Model

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A Linear Model of ULAE

A Linear Model of ULAE

Presentation Transcript

Multiple Linear Regression, General Linear Model, &amp; Generalized Linear Model

The General Linear Model

General Linear Model

General Linear Model

General Linear Model

Linear regression model Logarithmic behavior of model

Linear Model of Consumption

Generalized Linear Model

General Linear Model

Linear Delay Model

THE LINEAR CITY: A MODEL OF A SUSTAINABLE CITY?

Linear Model (III)

Linear Model

Estimating ULAE Liabilities

Finding a Linear Model

XI. Estimation of linear model parameters

General Linear Model

Linear Statistical Model

Linear Model Application

XI. Estimation of linear model parameters

General Linear Model

Finding a Linear Model

Multiple Linear Regression, General Linear Model, & Generalized Linear Model