The Bible says this "Repent, and be baptized every one of you in the name of Jesus Christ so that your sins may be forgiven; and you will receive the gift of the Holy Spirit. For the promise is for you, for your children, and for all who are far away, everyone whom the Lord our God calls to him." Acts 2:37-40. The promise of salvation is open to any who can understand the way of salvation, repent and be baptized and this is means children who can understand this as well. This shows that being sprinkled or doused or christened as an infant is not biblical or scriptural.
In the Bible it is very clear that Jesus wanted children to come to know Him. In Matthew 19:13-14 it talks about people bringing their children to Jesus. At first the disciples rebuked the people for bringing their children to Jesus, but Jesus rebuked the disciples and told them to let the children come to Him and not to rebuke them because the Kingdom of Heaven belongs to people who come to Him with an innocent faith as a child.
Not sure what you mean by 'saved' and why wouldn't children be saved? Jesus did perform several miracles for children, eg, Jairus' daughter that died, Jesus resurrected her (Luke 8:40-56). There was also the daughter of the soldier that he resurrected without even going to see her. Also, when the poor widow's son died and Jesus brought him back to life for her.