A solid performance from Cagliari at Parma gave the Sardinians a deserved second victory on the trot.
Jeda got them off to the perfect start with his seventh-minute goal and Daniele Dessena doubled his side's advantage shortly before the hour mark.
It brings to an end Parma's impressive record of not having tasted defeat at the Stadio Ennio Tardini since May 2008.
It is a fantastic result for Cagliari, who before Wednesday's victory over Bari had lost all of their opening four fixtures! and they have now moved into midtable.
Parma will have been disappointed to have dropped their first home points of the season and the result sees them fall two places to seventh.
But it was nothing less than the hosts deserved after one of their worst performances since their return to the top flight and a solid team performance from their opponents.
Cagliari were in control from the off and went in front with less than seven minutes albeit in somewhat controversial circumstances.
The Parma players were up in arms when Jonathan Biabiany appeared to have been fouled by Alessandro Agostini in the area, but the referee waved play on.
Jeda raced downfield on the counter attack before slipping the ball to Andrea Cossu, who crossed it back to the Brazilian moments later to score his third goal of the season.
Cagliari would have doubled their lead 10 minutes later had it not been for Damiano Zenoni, who made a well-timed intervention to ! clear the ball just as Alessandro Matri was set to head home.
P arma were lacking in any creativity and Alberto Paloschi was obviously struggling up front as a loan striker. Cagliari defenders Michele Canini and Davide Astori were easily able to handle the isolated 19-year-old.
Francesco Guidolin brought on Valeri Bojinov shortly after the half-hour mark and Parma began to look more dangerous, but they still barely tested Cagliari goalkeeper Federico Marchetti who was largely an observer thanks to his side's excellent defence.
It was more of the same after the break as time and time again Parma found themselves halted by the Cagliari back four.
And worse was to come for the hosts who soon found themselves two goals down.
Dessena escaped his marker Blerim Dzemaili in the area and fired the ball past Antonio Mirante.
It was sweet revenge for the 22-year-old, who came through Parma's youth system, and Dessena was roundly booed by the home fans as he celebrated his goal.
Guidolin threw on Davide Lanz! afame and Nicola Amoruso halfway though the second period and Parma became more threatening in attack.
But they still could not find a chink in the Cagliari defence as they formed an unbreachable wall around Marchetti, who never had a save to make.
And it was in fact the visitors who came closest to extending their lead 10 minutes from time when Mirante did well to keep out Dessena's powerful effort from the edge of the area.