Indirect interaction of random site and orientation electric dipoles t
hrough antiferroelectric and structural phase transition soft mode is
calculated. Distribution function of random electric field induced by
sum of this interaction and that through ferroelectric soft mode is ob
tained,in the statistical theory framework. This distribution function
made it possible to calculate transition temperature, critical concen
tration and order parameter of ferroelectric phase induced by the dipo
les. The developed theory applied to PbZrO3 with small concentration (
less than or equal to 5%) of Ti ions. Calculated concentrational depen
dence of ferroelectric and antiferroelectric phase transition temperat
ures fitted very good the observed transition temperatures.