Between Certainty and Uncertainty: Statistics and by Ludomir M. Laudański

By Ludomir M. Laudański

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

 

·         bankruptcy 1  Descriptive Statistics:  Compressing small samples, easy averages - suggest and variance, their major homes together with God’s evidence; linear changes and z-scored information .

 

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

 

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

 

·         bankruptcy four Binomial distribution: center a long time origins of the binomials; figurate numbers  and combinatorial ideas. Pascal’s Arithmetical Triangle.  Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials.  How Newton taught S. Pepys likelihood. Jacob Bernoulli’s vulnerable legislation of enormous 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 houses together with God’s facts; linear adjustments and z-scored records .

 

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

 

·         bankruptcy three Regression and correlation: Geometrical distance and identical distances in orthogonal instructions  as a prerequisite to the concept that of 2 regression strains. deceptive in examining 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 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 vulnerable legislations of huge Numbers and others.

 

·         bankruptcy five  Normal distribution and binomial heritage – Tables of the traditional 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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