Book Image

Hands-On Ensemble Learning with R

By : Prabhanjan Narayanachar Tattar
Book Image

Hands-On Ensemble Learning with R

By: Prabhanjan Narayanachar Tattar

Overview of this book

Ensemble techniques are used for combining two or more similar or dissimilar machine learning algorithms to create a stronger model. Such a model delivers superior prediction power and can give your datasets a boost in accuracy. Hands-On Ensemble Learning with R begins with the important statistical resampling methods. You will then walk through the central trilogy of ensemble techniques – bagging, random forest, and boosting – then you'll learn how they can be used to provide greater accuracy on large datasets using popular R packages. You will learn how to combine model predictions using different machine learning algorithms to build ensemble models. In addition to this, you will explore how to improve the performance of your ensemble models. By the end of this book, you will have learned how machine learning algorithms can be combined to reduce common problems and build simple efficient ensemble models with the help of real-world examples.
Table of Contents (17 chapters)
Hands-On Ensemble Learning with R
Contributors
Preface
12
What's Next?
Index

Nonparametric inference


Survival data is subject to censoring and we need to introduce a new quantity to capture this information. Suppose that we have a n IID random sample of lifetime random variables in , and we know that the event of interest might have occurred or that it will occur sometime in the future. The additional information is captured by the Kronecker indicator variable, :

Thus, we have n pairs of random observations in the Ts and s, . To obtain the estimates of the cumulative hazard function and the survival function, we will need an additional notation. Let denote the unique times of Ts at which the event of interest is observed. Next, we denote to represent the number of observations that are at risk just before times and the number of events that occur at that time. Using these quantities, we now propose to estimate the cumulative hazard function using the following:

The estimator is the famous Nelson-Aalen estimator. The Nelson-Aalen estimator enjoys statistical properties...