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The authors are grateful to the Central Pollution Control Board (CPCB), Ministry of Environment, Forests, and Climate Change, India for providing open access to internet sources which help in the construction of data set for the current study. The authors would like to convey their sincere thanks to the management of G.L.A. University, Mathura (U.P.), India, Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali, Rajasthan, India, National Centre for Coastal Research, Ministry of Earth Science (MoES), Govt. of India, Chennai, India, Department of Environmental Science, Asutosh College (Estd. - 1916), Kolkata, West Bengal, India, and Amity University, Noida, Uttar Pradesh, India for providing facilities.

Authors’ contribution
All authors have a specific role in the current research and have contributed to the preparation of the article. Preparation of the data set was performed by Dr. Gaurav Pant, Dr. Alka, and Dr. Deviram Garlapati. The validation and effectiveness of the proposed models were studied by Dr. Gaurav Pant, Dr. Alka, Dr. Kaizar Hossain, and Mr. Ashish Gaur, while Dr. Gaurav Pant, Dr. Alka, Dr. SV Singh, and Dr. AK Gupta were actively involved in article structure and analysis.

Data availability
The data sets analyzed during the current study are available in the open access internet sources provided by the Central Pollution Control Board (CPCB), Ministry of Environment, Forests, and Climate Change (https://app.cpcbccr.com/AQI_India/).

Compliance with ethical standards

Conflict of interest
The authors declare that they have no conflict of interest.

Consent to participate
Not applicable.

Consent to publish
Not applicable.