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In probability theory and statistics, the beta prime distribution (also known as inverted beta distribution or beta distribution of the second kind [1]) is an absolutely continuous probability distribution. If [,] has a beta distribution, then the odds has a beta prime distribution.
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1) in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution.
This is a list of acts of the Parliament of South Africa enacted in the years 1910 to 1919. South African acts are uniquely identified by the year of passage and an act number within that year. Some acts have gone by more than one short title in the course of their existence; in such cases each title is listed with the years in which it applied.
The beta family includes the beta of the first and second kind [7] (B1 and B2, where the B2 is also referred to as the Beta prime), which correspond to c = 0 and c = 1, respectively. Setting c = 0 {\displaystyle c=0} , b = 1 {\displaystyle b=1} yields the standard two-parameter beta distribution .
The Gazette includes proclamations by the President as well as both general and government notices made by its various departments. It publishes regulations and notices in terms of acts, changes of names, company registrations and deregistrations, financial statements, land restitution notices, liquor licence applications and transport permits.
The first South African company legislation was the Companies Act [3] of 1926, which was based on the Transvaal Companies Act, [4] which was in turn based on the British Companies (Consolidation) Act 1908. The next major South African legislation in this area was the Companies Act [5] of 1973, which remained in force until 31 April 2011.
South African contract law is "essentially a modernized version of the Roman-Dutch law of contract", [1] and is rooted in canon and Roman laws. In the broadest definition, a contract is an agreement two or more parties enter into with the serious intention of creating a legal obligation.
In South Africa the courts have on occasion given some protection to this type of situation by applying section 189 of CPA. [59] Under this section the court may refrain from punishing a recalcitrant witness if there is a “just excuse” for his not testifying.