This thesis is concerned with the detailed derivation
of Sheppard's Correction Formula relating the true to the
raw moments by the use of Euler-MacLaurin formula. Special
moment relationships have been derived using different
special functions, whose application is made to derive correction
formula for the semi-invariants. Special investigation
is carried...
Quantization is a non-linear operation of converting a continuous
signal into a discrete one, assuming a finite number of levels N. A
study is made of the quantization procedure, starting from the year
1898 to the present time. Conditions for minimum error are derived
with consideration of quantization in magnitude...