Our main, novel, result is that a certain non-central chi-squared mixture of distributions itself scaled distribution. From this and link to known on representation for central distribution, numerous further results, both old new, ensue. These include results F, F Libby–Novick distributions. The main involves all with the same degrees freedom; it also extended case where mixing distribution has...

This p a p e r examines the inf luence of social and e c o n o m i c change on family s t ruc tu re and re la t ionships : H o w do such e c o n o m i c and social t ransformat ions as industr ia l izat ion, urbaniza t ion , demographic change, the expans ion of educa t ion , and the longte rm g r o w t h of i n c o m e inf luence the family? W e take a c o m p a r a t i v e and h is tor ica l ...