Probability and Statistics
Disclaimer: I created this particular webpage because I know next to nothing about probability or statistics. It is a place I am building as a means of learning what I can about these subjects.
Here are links to a summary of the basic use of graphing calculators for Elementary Statistics, and some useful statistics programs for graphing calculators.
I will someday use the following direct quote from E. T. Jaynes' book "Probability Theory: The Logic of Science", Chapter 2, page 222, to make a point; until then it should just be ignored:
"Kolmogorov formalized and axiomatized the picture suggested by the Venn diagram, which we have just described. At first glance, this system appears so totally different from ours that some discussion is needed to see the close relation between them. In Appendix A we describe the Kolmogorov system and show that, for all practical purposes the four axioms concerning his probability measure, first stated arbitrarily - for which Kolmogorov has been criticized - have all been derived in this Chapter as necessary to meet our consistency requirements. As a result, we shall find ourselves defending Kolmogorov against his critics on many technical points. The reader who first learned probability theory on the Kolmogorov basis is urged to read Appendix A at this point.
However, our system of probability differs conceptually from that of Kolmogorov in that we do not interpret propositions in terms of sets. Partly as a result, our system has analytical resources not present at all in the Kolmogorov system. This enables us to formulate and solve many problems - particularly the so-called "ill-posed" problems and "generalized inverse" problems - that would be considered outside the scope of probability theory according to the Kolmogorov system. These problems are just the ones of greatest interest in current applications."
"Kolmogorov formalized and axiomatized the picture suggested by the Venn diagram, which we have just described. At first glance, this system appears so totally different from ours that some discussion is needed to see the close relation between them. In Appendix A we describe the Kolmogorov system and show that, for all practical purposes the four axioms concerning his probability measure, first stated arbitrarily - for which Kolmogorov has been criticized - have all been derived in this Chapter as necessary to meet our consistency requirements. As a result, we shall find ourselves defending Kolmogorov against his critics on many technical points. The reader who first learned probability theory on the Kolmogorov basis is urged to read Appendix A at this point.
However, our system of probability differs conceptually from that of Kolmogorov in that we do not interpret propositions in terms of sets. Partly as a result, our system has analytical resources not present at all in the Kolmogorov system. This enables us to formulate and solve many problems - particularly the so-called "ill-posed" problems and "generalized inverse" problems - that would be considered outside the scope of probability theory according to the Kolmogorov system. These problems are just the ones of greatest interest in current applications."