お待ち遠さま[omachidoosama] I'm sorry to have kept you waiting
果報は寝て待て[kahouhanetemate] All things come to those who wait
歓待[kantai] warm reception
期待[kitai] expectation
期待値[kitaichi] expected value

期待どおり[kitaidoori] as expected (positive events)
虐待[gyakutai] abuse
供待ち[tomomachi] attendant's waiting room
最恵国待遇[saikeikokutaiguu] most favored nation
請待[shoudai] invitation

手招き[temaneki] beckoning
手招く[temaneku] to beckon
招き[maneki] invitation
招き猫[manekineko] beckoning cat
招く[maneku] to invite

招集[shoushuu] calling or convening (a meeting, assembly, congress)
招待[shoutai] invitation
招待券[shoutaiken] complimentary ticket
招待状[shoutaijou] written invitation
招致[shouchi] invitation