Spherical Probable Error

The Probable Error of a Mean

The Probable Error of a Mean

Any experiment may he regarded as forming an individual of a “population” of experiments which might he performed under the same conditions. A series of experi­ ments is a sample drawn from this population. Now any series of experiments is only of value in so far as it enables us to form a judgment as to the statistical constants of the population to which the experiments belong. In a greater n...

The Probable Error of a Mean

Any experiment may he regarded as forming an individual of a “population” of experiments which might he performed under the same conditions. A series of experiments is a sample drawn from this population. Now any series of experiments is only of value in so far as it enables us to form a judgment as to the statistical constants of the population to which the experiments belong. In a greater num...

Quantization Error for Vectocardiogram Spherical Coordinates

The vectocardiography (VCG) is the methodological extension of electrocardiography (ECG) that allows three-dimensional imaging of the cardiac electrical field. For the lack of the sufficient technological support it was underestimated for years, and currently comes back to the clinical practice thanks to the use of numerically performed spatial transforms. The VCG signal is usually acquired wit...

Average Case Error Estimates for the Strong Probable Prime Test

Consider a procedure that chooses fe-bit odd numbers independently and from the uniform distribution, subjects each number to t independent iterations of the strong probable prime test (Miller-Rabin test) with randomly chosen bases, and outputs the first number found that passes all t tests. Let pfc , denote the probability that this procedure returns a composite number. We obtain numerical upp...