Between Certainty and Uncertainty: Statistics and - download pdf or read online

By Ludomir M. Laudański

„Between sure bet & Uncertainty” is a one-of–a-kind brief path on facts for college students, engineers  and researchers.  it's a attention-grabbing creation to statistical data and chance with notes on old origins and eighty illustrative numerical examples equipped within the 5 units:

 

·         bankruptcy 1  Descriptive Statistics:  Compressing small samples, simple averages - suggest and variance, their major houses together with God’s evidence; linear differences and z-scored facts .

 

·         bankruptcy 2 Grouped data: Udny Yule’s notion of qualitative and quantitative variables. Grouping those varieties of info. Graphical instruments. Combinatorial ideas and qualitative variables.  Designing frequency histogram. Direct and coded evaluate of quantitative info. importance of percentiles.

 

·         bankruptcy three Regression and correlation: Geometrical distance and similar distances in orthogonal instructions  as a prerequisite to the idea that of 2 regression traces. deceptive in examining regression strains. Derivation of the 2 regression traces. used to be Hubble correct? Houbolt’s cloud. What in reality measures the correlation coefficient?

 

·         bankruptcy four Binomial distribution: heart a while origins of the binomials; figurate numbers  and combinatorial principles. Pascal’s Arithmetical Triangle.  Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials.  How Newton taught S. Pepys likelihood. Jacob Bernoulli’s susceptible legislation of huge Numbers and others.

 

·         bankruptcy five  Normal distribution and binomial heritage – Tables of the conventional distribution. Abraham de Moivre and the second one theorem of de Moivre-Laplace.  

 

 

·         bankruptcy 1  Descriptive Statistics:  Compressing small samples, simple averages - suggest and variance, their major homes together with God’s facts; linear ameliorations and z-scored records .

 

·         bankruptcy 2 Grouped data: Udny Yule’s inspiration of qualitative and quantitative variables. Grouping those different types of information. Graphical instruments. Combinatorial ideas and qualitative variables.  Designing frequency histogram. Direct and coded overview of quantitative info. importance of percentiles.

 

·         bankruptcy three Regression and correlation: Geometrical distance and an identical distances in orthogonal instructions  as a prerequisite to the idea that of 2 regression strains. deceptive in reading regression traces. Derivation of the 2 regression traces. was once Hubble correct? Houbolt’s cloud. What in truth measures the correlation coefficient?

 

·         bankruptcy four Binomial distribution: center a long time origins of the binomials; figurate numbers  and combinatorial principles. Pascal’s Arithmetical Triangle.  Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials.  How Newton taught S. Pepys chance. Jacob Bernoulli’s vulnerable legislations of huge Numbers and others.

 

·         bankruptcy five  Normal distribution and binomial heritage – Tables of the conventional distribution. Abraham de Moivre and the second one theorem of de Moivre-Laplace.  

 

 

·         bankruptcy five  Normal distribution and binomial heritage – Tables of the traditional distribution. Abraham de Moivre and the second one theorem of de Moivre-Laplace.  

 

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Between Certainty and Uncertainty: Statistics and Probability in Five Units with Notes on Historical Origins and Illustrative Numerical Examples: 31 (Intelligent Systems Reference Library) by Ludomir M. Laudański


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