ABSTRACT

The book describes the theoretical principles of nonstatistical methods of data analysis but without going deep into complex mathematics. The emphasis is laid on presentation of solved examples of real data either from authors' laboratories or from open literature. The examples cover wide range of applications such as quality assurance and quality control, critical analysis of experimental data, comparison of data samples from various sources, robust linear and nonlinear regression as well as various tasks from financial analysis. The examples are useful primarily for chemical engineers including analytical/quality laboratories in industry, designers of chemical and biological processes.

Features:

  • Exclusive title on Mathematical Gnostics with multidisciplinary applications, and specific focus on chemical engineering.
  • Clarifies the role of data space metrics including the right way of aggregation of uncertain data.
  • Brings a new look on the data probability, information, entropy and thermodynamics of data uncertainty.
  • Enables design of probability distributions for all real data samples including smaller ones.
  • Includes data for examples with solutions with exercises in R or Python.

The book is aimed for Senior Undergraduate Students, Researchers, and Professionals in Chemical/Process Engineering, Engineering Physics, Stats, Mathematics, Materials, Geotechnical, Civil Engineering, Mining, Sales, Marketing and Service, and Finance.

chapter 1|10 pages

Introductory Kindergarten

chapter 2|4 pages

Axioms

chapter 3|14 pages

Introduction to Non-Standard Thought

chapter 4|6 pages

Quantification

chapter 5|8 pages

Estimation and Ideal Gnostic Cycle

chapter 6|12 pages

Geometry

chapter 7|6 pages

Aggregation

chapter 8|12 pages

Thermodynamics of Uncertain Data

chapter 9|6 pages

Kernel Estimation

chapter 10|28 pages

Probability Distribution Functions

chapter 11|12 pages

Applications of Local Distributions

chapter 12|16 pages

On the Notion of Normality

chapter 14|16 pages

Data Censoring

chapter 16|10 pages

Robust Estimation of a Constant

chapter 17|18 pages

Measuring the Data Uncertainty

chapter 18|6 pages

Homo- or Heteroscedastic Data

chapter 19|30 pages

Gnostic Multidimensional Regression Models

chapter 20|8 pages

Data Filtering

chapter 21|4 pages

Decision Making in Mathematical Gnostics

chapter 22|10 pages

Comparisons

chapter 23|16 pages

Advanced Production Quality Control

chapter 24|8 pages

Robust Correlation

chapter 25|26 pages

General Relations