Some Source Coding Theorems and 1:1 Coding Based on Generalized Inaccuracy Measure of Order $$\alpha $$α and Type $$\beta $$β

In this paper, we have established some noiseless coding theorems for a generalized parametric ‘useful’ inaccuracy measure of order \(\alpha \) and type \(\beta \) and generalized mean codeword length. Further, lower bounds on exponentiated useful code length for the best 1:1 code have been obtained in terms of the useful inaccuracy of order \(\alpha \) and type \(\beta \) and the generalized average useful codeword length.