How Long to Read Robust Methods in Regression Analysis – Theory and Application

How Long Does it Take to Read Robust Methods in Regression Analysis – Theory and Application?

It takes the average reader 2 hours to read Robust Methods in Regression Analysis – Theory and Application by Robert Finger

Assuming a reading speed of 250 words per minute. Learn more

Description

Diploma Thesis from the year 2006 in the subject Statistics, grade: 1.3, European University Viadrina Frankfurt (Oder) (Wirtschaftswissenschaftliche Fakultät), 43 entries in the bibliography, language: English, abstract: Regression Analysis is an important statistical tool for many applications. The most frequently used approach to Regression Analysis is the method of Ordinary Least Squares. But this method is vulnerable to outliers; even a single outlier can spoil the estimation completely. How can this vulnerability be described by theoretical concepts and are there alternatives? This thesis gives an overview over concepts and alternative approaches. The three fundamental approaches to Robustness (qualitative-, infinitesimal- and quantitative Robustness) are introduced in this thesis and are applied to different estimators. The estimators under study are measures of location, scale and regression. The Robustness approaches are important for the theoretical judgement of certain estimators but as well for the development of alternatives to classical estimators. This thesis focuses on the (Robustness-) performance of estimators if outliers occur within the data set. Measures of location and scale provide necessary steppingstones into the topic of Regression Analysis. In particular the median and trimming approaches are found to produce very robust results. These results are used in Regression Analysis to find alternatives to the method of Ordinary Least Squares. Its vulnerability can be overcome by applying the methods of Least Median of Squares or Least Trimmed Squares. Different outlier diagnostic tools are introduced to improve the poor efficiency of these Regression Techniques. Furthermore, this thesis delivers a simulation of some Regression Techniques on different situations in Regression Analysis. This simulation focuses in particular on changes in regression estimates if outliers occur in the data. Theoretically derived results as well as the results of the simulation lead to the recommendation of the method of Reweighted Least Squares. Applying this method frequently on problems of Regression Analysis provides outlier resistant and efficient estimates.

How long is Robust Methods in Regression Analysis – Theory and Application?

Robust Methods in Regression Analysis – Theory and Application by Robert Finger is 117 pages long, and a total of 30,069 words.

This makes it 39% the length of the average book. It also has 37% more words than the average book.

How Long Does it Take to Read Robust Methods in Regression Analysis – Theory and Application Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 44 minutes to read Robust Methods in Regression Analysis – Theory and Application aloud.

What Reading Level is Robust Methods in Regression Analysis – Theory and Application?

Robust Methods in Regression Analysis – Theory and Application is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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