7 papers
Radiative Spin Polarization in High Energy Storage Rings
S. R. Mane
The usual theoretical model for synchrotron radiation in circular accelerators (synchrotrons and storage rings) is to treat a single electron moving in a horizontal circle in a uni…
Scaling behavior for the median of the Poisson distribution of order
S. R. Mane
This note analyzes properties of the median of the Poisson distribution of order . Given a value for the median in the interval , an equation to calculate the cor…
Alternative combinatorial sum for the probability mass function of the Poisson distribution of order
S. R. Mane
Kostadinova and Minkova published an expression for the probability mass function (pmf) of the Poisson distribution of order , as a combinatorial sum ($\mathit{Pliska~Stud.~Math…
Convexity and monotonicity of the probability mass function of the Poisson distribution of order
S. R. Mane
This note focuses on the properties of two blocks of elements of the probability mass function (pmf) of the Poisson distribution of order . The first block is the elements f…
Analytical proofs for the properties of the probability mass function of the Poisson distribution of order
S. R. Mane
The Poisson distribution of order is a special case of a compound Poisson distribution. For it is the standard Poisson distribution. Our main result is a proof that for s…
Asymptotic results for the Poisson distribution of order k
S. R. Mane
The Poisson distribution of order is a special case of a compound Poisson distribution. Its mean and variance are known, but results for its median and mode are difficult to ob…