For example:
Beria angrily dismissed his claims as panic-mongering and quickly left, ordering him, "Don't bother us, don't cause a panic and don't disturb Comrade Stalin!"[35] Calling a doctor was deferred for a full 12 hours after Stalin was rendered paralyzed, incontinent, and unable to speak.
Khrushchev wrote in his memoirs that Beria had, immediately after Stalin's stroke, gone about "spewing hatred against [Stalin] and mocking him." When Stalin showed signs of consciousness, Beria dropped to his knees and kissed his hand. When Stalin fell unconscious again, Beria immediately stood and spat.[33]
Alliluyeva noticed how the Politburo seemed openly frightened of Beria and unnerved by his bold display of ambition. "He's off to take power," Mikoyan recalled muttering to Khrushchev. That prompted a "frantic" dash for their own limousines to intercept him at the Kremlin.[35]
Oh I'm so excited about this question! I wrote a paper about this issue in college and turned the research into a lesson plan about historiography.
Unfortunately, I don't have access to that paper/most of the sources anymore but I'll do my best.
Khrushchev's memoir was the primary accounting of Stalin's death for about 50 years. Alliluyeva's memoirs more or less followed Khrushchev's on the story, which is interesting because she describes events that, according to Khrushchev, happened before she arrived at the Dacha.
According to Alliluyeva's memoirs and statements, she hated Beria because of his alleged sexual habits. Khrushchev also disliked Beria, due to the power struggle in the Politburo, and it was politically expedient for him to paint this comically ghoulish version of Beria at the deathbed (which sort of becomes ironic once Beria was disposed of and Khrushchev denounced Stalin). Both had an interest in painting Beria as, at best, a slimy opportunistic, and at worst, a potential murderer.
Anyway, these two accounts were the dominant ones for the 50 years following Stalin's death. There was a contemporary report on Stalin's death, written by the doctors who treated him in the days before his death, that was never published and discovered in the archives. There is a summary of the report in Stalin's Last Crime, by Jonathan Brent and Vladimir P. Naumov, pgs 314-323.
This version of the death is a lot less sensational. Essentially, Stalin suffered some medical emergency and his bodyguards decided to first call members of the Politburo rather than doctors (important to note that the so-called "Doctor's Plot" was the current target of Stalin's paranoia, where in he believed that Jewish doctors were conspiring to kill him). Here's an interesting quote:
The veracity of Khrushchev's account is further undermined by the fact that a standing order existed in the Kremlin Guard that if any Kremlin official showed signs of illness, doctors were to be called by the guards themselves. There was no need to go through Malenkov, Beria, or Khrushchev to obtain medical assistance for Stalin. Either the guards had been instructed to deviate from this standing order by members of the Politburo, or their call for help was countermanded. In either case, complicity at the highest level of Soviet government appears to have ensured that Stalin would die (pg. 317)
Stalin's death is this perfect encapsulation of Soviet politics. A totally mundane event (the natural death of an elderly man) is warped into political grandstanding, the stuff of legend, and the opportunity for high-stakes backstabbing.
I hope this is helpful, I'll go poking around in my external hard drive to see if I can find more information and/or sources.
Alliluyeva “hated Beria because of his alleged sexual habits.” Please, oh please: DO TELL.