How rare are dinosaur eggs?

Excuse me, I've been pondering over a question about the rarity of dinosaur eggs. I'm quite fascinated by the concept of discovering these ancient relics and I'm curious to know just how scarce they actually are. Could you elaborate on the factors that contribute to their scarcity? Are there any specific regions or geological formations where they're more likely to be found? Furthermore, are there any ongoing excavations or research efforts aimed at uncovering new dinosaur egg nests? I'd greatly appreciate your insights on this fascinating topic.