With these pages I plan to make
available a broad
range of material related
to the history of probability and statistics. This will include
a selection of original sources in English translation. The
rightly assume, unless another person should be credited, that I am
for any errors of mistranslation or transcription.
I have endeavored to ensure that texts
been reproduced accurately. The translations have not been
English because they are meant to reflect as best as I am capable the
and language of the authors. However, I believe the
English to be
readable. Be aware that the sources available are sometimes
difficult to read so that errors can arise simply because characters of
text cannot be discerned clearly.
Whenever possible, the original
notation of the
authors has been retained.
However, I have at times relied on the collected works of an
It should be noted that editors of collected works have sometimes
the notation from that which was used in the first publication. It has
necessary, but only rarely, to actually alter notation and this has
chiefly when the character used is not available.
These documents may be freely copied
for use by
educators and educational
institutions as long as proper credit is given and they remain
This site may neither be mirrored
nor these files
and corrections are welcome.
Note that the Todhunter's framework has
been adopted through Laplace. Beyond that time, what appears
is dictated by my
several research libraries have been digitized, it is possible to
locate scanned images of journals and books. Links will be provided to
them under two particular circumstances: (1) If the paper or text is in
English. (2) If the work is in another language and I have no interest
other than citing it.
Richard J. Pulskamp.
is likely that these
pages will be in a permanent state of construction.
Several histories now in the public domain are these:
- Charles Gourand, Histoire
du Calcul des Probabilités, 1848.
- Isaac Todhunter, A
History of the Mathematical Theory of Probability, 1865
- August Meitzen, History,
theory, and technique of Statistics, 1891.
- John Koren, The
History of Statistics, 1913.
The outline of Todhunter
Althought Todhunter is fairly complete, there are some omissions. Those
found have been imbedded as appropriate in these pages.
Supplement: Fitting equations to data
prior to 1805. Many, but not all, of the works included here
are mentioned above. This collects together all identified by Merriman
in his list of writings on least squares up to, but not including Legendre.
- Prehistory of Probability & Statistics (In
Problem of Points
- Blaise Pascal
and Pierre Fermat
Investigations to 1700
- Pierre de
- Abraham de Moivre
- The Bernoulli
I Bernoulli, Nicolas
I Bernoulli, Daniel
Bernoulli & Johann
Nikolaus I Bernoulli is the author of the dissertation De usu artis conjectandi
between 1700 and 1750
- Leonhard Euler wrote
number of papers on probability and what we now call statistics. Here
are found translations of the majority of his works. I have also
endeavored to give a fairly complete collection of ancillary papers up
to the time of Laplace. Several gaps are yet evident.
D'Alembert is often
maligned for his errors in discussing probability. Here I have placed
translations of all of his writings on probability. He also
a number of memoirs of a statistical nature on the subject of
inoculation for the smallpox. These remain to be done.
1750 to 1780
- Marquis de
- Jean Trembley
1780 to 1800
(Updated through TAP.
The Nineteenth Century
The Royal Society of London produced for the period 1800 to 1900 a Catalog of Scientific Papers
organized by subject. Volume 1 lists pure mathematical papers. Those in
probability (Classification 1630) are further subdivided into the
Theory of Errors including Least
Squares Method and Probabilities including Problems. Statistics
(Classification 1635) includes Actuarial Mathematics with subdivisions
This period is marked especially by the efforts devoted to the theory of errors and the method
of least squares. Manfield Merriman in his A List of writings relating to
the Method of Least Squares has supplied a list of 408
titles related to it carried from 1722 to 1874. Leon Harter
in "The Method of Least Squares and some Alternatives: Part I," International Statistical Review
No. 2 (1974) pp. 147-174 extended this to 1884.
The thirteen "proofs"
of the Method of Least Squares:
These are given in the order provided by Merriman.
This period is marked by
the publication of Laplace's
Théorie Analytique des
in 1812 and followed shortly thereafter with the Essai
Philosophique sur les probabilités in
first published in 1805 on the method of
- Carl Gauss
who contributed to the
science of statistics through his work on the method of least squares.
His works in this area span 1809 to 1828. Although Legendre was the first to publish, he claimed to have used the
procedure twelve years before Legendre published.
- George Bessel who, during the period 1810 to 1845, contributed to the theory of errors.
- Simon Denis
Poisson is known,
of course, for the Poisson Distribution, the Law of Large Numbers and his simplification of Laplace.
He also investigated the optimal size of juries and the number of
jurors required to convict. His work spans 1824 to 1837.
- Joseph Fourier.
Investigations from 1801 to 1830
See also Cauchy below for early papers.