Survival analysis | Econometric modeling

Discrete-time proportional hazards

Hazard rate models are widely used to model duration data in a wide rangeof disciplines, from bio-statistics to economics. Grouped duration data are widespread in many applications. Unemployment durations are typically measured over weeks or months and these time intervals may be considered too large for continuous approximations to hold. In this case, we will typically have grouping points , where . Models allow for time-invariant and time-variant covariates, but the latter require stronger assumptions in terms of exogeneity. The discrete-time hazard function can be written as: where is the survivor function. It can be shown that this can be rewritten as: These probabilities provide the building blocks for setting up the Likelihood function, which ends up being: This maximum likelihood maximization depends on the specification of the baseline hazard functions. These specifications include fully parametric models, piece-wise-constant proportional hazard models, or partial likelihood approaches that estimate the baseline hazard as a nuisance function. Alternatively, one can be more flexible for the baseline hazard and impose more structure for This approach performs well for certain measures and can approximate arbitrary hazard functions relatively well, while not imposing stringent computational requirements. When the covariates are omitted from the analysis, the maximum likelihood boils down to the Kaplan-Meier estimator of the survivor function. Another way to model discrete duration data is to model transitions using binary choice models. (Wikipedia).

Video thumbnail

Discrete versus Continuous Random Variables

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Discrete versus Continuous Random Variables

From playlist Statistics

Video thumbnail

Random Variable Examples with Discrete and Continuous

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Random Variable Examples with Discrete and Continuous

From playlist Statistics

Video thumbnail

Discrete Random Variables - Statistics

We talk about discrete random variables (and some continuous random variables), then do some thinking about problems with them. Join this channel to get access to perks: https://www.youtube.com/channel/UCGYSfZbPp3BiAFs531PBY7g/join Instagram: http://instagram.com/TrevTutorOfficial Websit

From playlist Statistics

Video thumbnail

Statistics: Ch 5 Discrete Random Variable (2 of 27) What is a Discrete Random Variable?

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn a discrete random variable can be a count of something, an integer, as how many times a coin comes up “heads” or “tails

From playlist STATISTICS CH 5 DISCRETE RANDOM VARIABLE

Video thumbnail

Statistical Learning: 11.2 Proportional Hazards Model

Statistical Learning, featuring Deep Learning, Survival Analysis and Multiple Testing You are able to take Statistical Learning as an online course on EdX, and you are able to choose a verified path and get a certificate for its completion: https://www.edx.org/course/statistical-learning

From playlist Statistical Learning

Video thumbnail

Discrete-Time Dynamical Systems

This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/

From playlist Data-Driven Dynamical Systems

Video thumbnail

DISCRETE Random Variables: Finite and Infinite Distributions (9-2)

A Discrete Random Variable is any outcome of a statistical experiment that takes on discrete (i.e., separate and distinct) numerical values. Discrete outcomes: all potential outcomes numerical values are integers (i.e., whole numbers). They cannot be negative. Using an example of tests in

From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)

Video thumbnail

Tenth SIAM Activity Group on FME Virtual Talk

Speaker: Rene Carmona, Paul M. Wythes '55 Professor of Engineering and Finance, ORFE & PACM, Princeton University, Title: Contract theory and mean field games to inform epidemic models. Abstract: After a short introduction to contract theory, we review recent results on models involving

From playlist SIAM Activity Group on FME Virtual Talk Series

Video thumbnail

Statistical Learning: 11.3 Estimation of Cox Model with Examples

Statistical Learning, featuring Deep Learning, Survival Analysis and Multiple Testing You are able to take Statistical Learning as an online course on EdX, and you are able to choose a verified path and get a certificate for its completion: https://www.edx.org/course/statistical-learning

From playlist Statistical Learning

Video thumbnail

Distinguished Visitor Lecture Series by Mark van der Laan Targeted Learning with Applications to ..

Distinguished Visitor Lecture Series Targeted Learning with Applications to Genomic Studies Mark van der Laan University of California, Berkeley, USA

From playlist Distinguished Visitors Lecture Series

Video thumbnail

Lecture 12: Contract Application, Obstacles

MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2

From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020

Video thumbnail

EVS Session 1 Intro

Extreme Value Statistics, Introduction

From playlist Extreme Value Statistics

Video thumbnail

What are Continuous Random Variables? (2 of 3: Why we need different tools)

More resources available at www.misterwootube.com

From playlist Random Variables

Video thumbnail

Hyperexponential Growth and Log-periodicity Precede Extreme COVID-19 Waves by Induja Pavithran

PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an

From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)

Video thumbnail

What are Continuous Random Variables? (1 of 3: Relation to discrete data)

More resources available at www.misterwootube.com

From playlist Random Variables

Video thumbnail

The discrete Gaussian free field on a compact manifold by Alessandra Cipriani

PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the

From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019

Video thumbnail

FEM@LLNL | Bayesian Inversion of an Acoustic-Gravity Model for Predictive Tsunami Simulation

Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On January 10, 2023, Stefan Henneking of the University of Texas at Austin presented “Bayesian Inversion of an Acoustic-Gravity Model for

From playlist FEM@LLNL Seminar Series

Video thumbnail

Closed loop discrete controller Lecture 2019-04-08

Evaluating the response of a continuous system controlled by a discrete controller using several methods

From playlist Discrete

Video thumbnail

Lecture 25, Feedback | MIT RES.6.007 Signals and Systems, Spring 2011

Lecture 25, Feedback Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT RES.6.007 Signals and Systems, 1987

Related pages

Kaplan–Meier estimator | Time-variant system | Likelihood function | Time-invariant system | Survival function | Parametric model