Latin perfect tense

From: Dan Jones
Message: 7330
Date: 2001-05-20

What is the derivation of the Latin perfect endings? It seems to me as if they are a mix of the sigmatic aorist and perfect endings.
Taking the indicatice endings of an -a:re verb as an example:
-ui:  <  *-ah2 (?)
-uisti: < *-s-th2a
-uit  < *-e-t (-t presumably by analogy)
-uimus <  *-me (?)
-uistis  < *-s-te-s
-ue:runt  <  -s-ont
 
Or am I completely getting the wrong end of the fustis?
 
Danoche
 
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Ka yokonáu iti báyan: "cas'alyá abhiyo".
 
Ka tso iti mantabayan: "yama zaláyá
alánekayam la s'alika, cas'alika; ka yama
yavarryekayan arannáam la vácika, labekayam
vácika, ka ali cas'alyeko vanotira."
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Dan Jones