Nonparametric inference under shape constraints: past, present and future

Key Points

• A historical overview of nonparametric inference under shape constraints is provided, highlighting key developments.
• The current state of research and its advancements in nonparametric inference under shape constraints are discussed.
• The survey outlines potential future directions and open problems in the field, emphasizing areas needing more exploration.
• By surveying past and present work, the paper aims to inform future research efforts in nonparametric inference.